## Problem Description and Gurobi Code

### Problem Description

The problem is an optimization problem with the objective to minimize the value of $2 \times \text{oreos} + 6 \times \text{protein bars} + 6 \times \text{bowls of instant ramen} + 1 \times \text{tomatoes}$.

The problem has the following constraints:

* The total combined healthiness rating from oreos and tomatoes should be 53 at minimum.
* The total combined healthiness rating from oreos and bowls of instant ramen must be 43 at a minimum.
* The total combined healthiness rating from oreos plus protein bars must be 47 at minimum.
* The total combined healthiness rating from protein bars and tomatoes has to be 52 at minimum.
* The total combined healthiness rating from oreos, protein bars, bowls of instant ramen, and tomatoes has to be greater than or equal to 52.
* The total combined healthiness rating from oreos and bowls of instant ramen should be 168 at a maximum.
* The total combined healthiness rating from oreos and tomatoes has to be 109 at maximum.
* You must get at least 18 grams of carbohydrates from oreos plus protein bars.
* You must get at least 18 grams of carbohydrates from oreos, protein bars, bowls of instant ramen, and tomatoes.
* You must get no more than 86 grams of carbohydrates from oreos, bowls of instant ramen, and tomatoes.
* You must get at most 48 grams of carbohydrates from oreos plus protein bars plus bowls of instant ramen.

### Gurobi Code

```python
import gurobi

# Create a new Gurobi model
model = gurobi.Model()

# Define the variables
oreos = model.addVar(name="oreos", lb=0)
protein_bars = model.addVar(name="protein_bars", lb=0)
bowls_of_instant_ramen = model.addVar(name="bowls_of_instant_ramen", lb=0)
tomatoes = model.addVar(name="tomatoes", lb=0)

# Define the objective function
model.setObjective(2 * oreos + 6 * protein_bars + 6 * bowls_of_instant_ramen + tomatoes, gurobi.GRB.MINIMIZE)

# Define the constraints
model.addConstraint(7 * oreos + tomatoes >= 53, name="healthiness_oreos_tomatoes")
model.addConstraint(7 * oreos + 6 * bowls_of_instant_ramen >= 43, name="healthiness_oreos_ramen")
model.addConstraint(7 * oreos + 11 * protein_bars >= 47, name="healthiness_oreos_protein")
model.addConstraint(11 * protein_bars + tomatoes >= 52, name="healthiness_protein_tomatoes")
model.addConstraint(7 * oreos + 11 * protein_bars + 6 * bowls_of_instant_ramen + tomatoes >= 52, name="healthiness_total")
model.addConstraint(7 * oreos + 6 * bowls_of_instant_ramen <= 168, name="healthiness_oreos_ramen_max")
model.addConstraint(7 * oreos + tomatoes <= 109, name="healthiness_oreos_tomatoes_max")
model.addConstraint(4 * oreos + 25 * protein_bars >= 18, name="carbohydrates_oreos_protein")
model.addConstraint(4 * oreos + 25 * protein_bars + 26 * bowls_of_instant_ramen + 29 * tomatoes >= 18, name="carbohydrates_total")
model.addConstraint(4 * oreos + 26 * bowls_of_instant_ramen + 29 * tomatoes <= 86, name="carbohydrates_oreos_ramen_tomatoes")
model.addConstraint(4 * oreos + 25 * protein_bars + 26 * bowls_of_instant_ramen <= 48, name="carbohydrates_oreos_protein_ramen")

# Optimize the model
model.optimize()

# Print the solution
if model.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", model.objVal)
    print("Oreos: ", oreos.x)
    print("Protein Bars: ", protein_bars.x)
    print("Bowls of Instant Ramen: ", bowls_of_instant_ramen.x)
    print("Tomatoes: ", tomatoes.x)
else:
    print("The model is infeasible")
```