n this assignment, you will formulate and solve mathematical problems using python in google colab. You will submit two files:

1. A word file with the mathematical formulations of the problems,

2. An .ipynb file with solutions for each problem

3. Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two different modelsthe Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers has a long-term contract with a supplier of the nylon and receives a 5000 square-foot shipment of the material each week. Each Collegiate requires 3 square feet while each Mini requires 2 square feet. The sales forecasts indicate that at most 1000 Collegiates and 1200 Minis can be sold per week. Each Collegiate requires 45 minutes of labor to produce and generates a unit profit of $32. Each Mini requires 40 minutes of labor and generates a unit profit of $24. Back Savers has 35 laborers that each provides 40 hours of labor per week. Management wishes to know what quantity of each type of backpack to produce per week.

Formulate a linear programming model for this problem (You need to clearly define decision variables, generate the objective function and constraints).

Solve it using pyomo.

*****PLEASE USE PYTHON TO SOLVE