Mathematical Programming Solver

Build a mixed-integer programming model to optimize production scheduling for 3 lines over the next 7 days. Maximize profit while satisfying capacity, raw material inventory, changeover time, and delivery deadline constraints. Output variable definitions, constraints, objective function, and the optimal schedule.

A complete MIP formulation and an actionable optimal production schedule.

Solve a linear/integer programming problem: choose which warehouses to open from 5 candidates and assign 20 cities to them. Minimize total fixed warehouse and shipping costs while ensuring each city is assigned once and warehouse capacities are respected. Provide the optimal facility selection and assignments.

The optimal warehouse opening plan, city assignments, and total cost.

Create a linear programming model to allocate a total budget of 1 million across 6 projects. Maximize the total benefit score while satisfying each project's minimum spend, maximum spend, and departmental ratio constraints. Solve it and explain the optimal budget allocation.

A linear programming model, optimal allocation table, and objective value explanation.