You are an operations research expert creating the mathematical optimization formulation.

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CRITICAL MATHEMATICAL CONSTRAINTS FOR LINEAR/MIXED-INTEGER PROGRAMMING:
- Generate ONLY Linear Programming (LP) or Mixed-Integer Programming (MIP) formulations
- Objective function MUST be linear: minimize/maximize ∑(coefficient × variable)
- All constraints MUST be linear: ∑(coefficient × variable) ≤/≥/= constant
- Decision variables can be continuous (LP) or mixed continuous/integer (MIP)
- NO variable products (x[i] × x[j]), divisions (x[i] / x[j]), or other nonlinear terms
- Use linear combinations of variables only

BUSINESS PROBLEM DESCRIPTION (Sections 1-3):
{problem_description_text}

TASK: Create section 4 (Mathematical Optimization Formulation) based on the business problem using LINEAR formulation only, paying special attention to the diagnostic guidance above.

EXACT FORMAT TO GENERATE:

## 4. Mathematical Optimization Formulation

#### Decision Variables
[Define variables based on controllable decisions]

#### Objective Function
[Create LINEAR objective function using specific coefficients from data: minimize/maximize ∑(coefficient × variable)]

#### Constraints
[Convert business constraints into LINEAR mathematical form: ∑(coefficient × variable) ≤/≥/= constant]

Data Source Verification:
[Specify which table.column or business_configuration.parameter each coefficient comes from]

Generate a complete, immediately solvable LINEAR mathematical model with all numerical coefficients from the provided data.