=== Problem Context ===
# Complete Optimization Problem and Solution: phone_1

## 1. Problem Context and Goals

### Context  
A phone manufacturer is tasked with optimizing the production of phones to minimize total costs while meeting specific hardware and accreditation requirements. The manufacturer must decide how many phones to produce for each combination of chip model and screen mode. Each chip model has an associated cost, RAM capacity, and ROM capacity, while each screen mode has an associated cost and accreditation level. The goal is to determine the optimal number of phones to produce for each chip model and screen mode combination, ensuring that the total RAM, ROM, and accreditation levels across all produced phones meet or exceed the minimum requirements set by the business.  

The business has established the following minimum requirements for all phones produced:  
- **Total RAM Required**: 8,000 MiB  
- **Total ROM Required**: 128,000 MiB  
- **Total Accreditation Level Required**: 5  

These requirements ensure that the phones meet production targets and quality standards. The manufacturer must balance the costs of chip models and screen modes while adhering to these constraints.  

### Goals  
The primary goal of this optimization problem is to minimize the total cost of producing phones. This cost is determined by the sum of the costs of the chip models and screen modes used in each phone, multiplied by the number of phones produced for each combination. Success is measured by achieving the lowest possible total cost while ensuring that the minimum RAM, ROM, and accreditation level requirements are met.  

## 2. Constraints  

The optimization problem must adhere to the following constraints:  
1. **Total RAM Constraint**: The combined RAM capacity of all phones produced must meet or exceed the minimum total RAM requirement of 8,000 MiB. This is calculated by summing the RAM capacity of each chip model multiplied by the number of phones produced with that chip model.  
2. **Total ROM Constraint**: The combined ROM capacity of all phones produced must meet or exceed the minimum total ROM requirement of 128,000 MiB. This is calculated by summing the ROM capacity of each chip model multiplied by the number of phones produced with that chip model.  
3. **Total Accreditation Level Constraint**: The combined accreditation level of all phones produced must meet or exceed the minimum total accreditation level requirement of 5. This is calculated by summing the accreditation level of each screen mode multiplied by the number of phones produced with that screen mode.  

These constraints ensure that the phones produced meet the necessary hardware and quality standards while minimizing production costs.  

## 3. Available Data  

### Database Schema  
```sql
-- Iteration 1 Database Schema
-- Objective: Schema changes and configuration logic updates implemented to address missing optimization data requirements and mapping gaps identified by the OR expert.

CREATE TABLE chip_models (
  chip_model_id INTEGER,
  cost FLOAT,
  RAM_MiB INTEGER,
  ROM_MiB INTEGER
);

CREATE TABLE screen_modes (
  screen_mode_id INTEGER,
  cost FLOAT,
  Accreditation_level INTEGER
);

CREATE TABLE phone_production (
  chip_model_id INTEGER,
  screen_mode_id INTEGER,
  quantity INTEGER
);
```

### Data Dictionary  
- **chip_models**:  
  - **chip_model_id**: Unique identifier for each chip model.  
  - **cost**: The cost associated with using the chip model in phone production.  
  - **RAM_MiB**: The RAM capacity of the chip model, measured in MiB.  
  - **ROM_MiB**: The ROM capacity of the chip model, measured in MiB.  

- **screen_modes**:  
  - **screen_mode_id**: Unique identifier for each screen mode.  
  - **cost**: The cost associated with using the screen mode in phone production.  
  - **Accreditation_level**: The accreditation level of the screen mode, indicating its quality standard.  

- **phone_production**:  
  - **chip_model_id**: The chip model used in the production of a specific phone.  
  - **screen_mode_id**: The screen mode used in the production of a specific phone.  
  - **quantity**: The number of phones produced with the specified chip model and screen mode combination.  


=== Schema ===
-- Iteration 1 Database Schema
-- Objective: Schema changes and configuration logic updates implemented to address missing optimization data requirements and mapping gaps identified by the OR expert.

CREATE TABLE chip_models (
  chip_model_id INTEGER,
  cost FLOAT,
  RAM_MiB INTEGER,
  ROM_MiB INTEGER
);

CREATE TABLE screen_modes (
  screen_mode_id INTEGER,
  cost FLOAT,
  Accreditation_level INTEGER
);

CREATE TABLE phone_production (
  chip_model_id INTEGER,
  screen_mode_id INTEGER,
  quantity INTEGER
);



=== LLM Response ===






```sql

```
















































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































