can you help me with part A and E and F

Homework #3 Part 1. Las Cruces Backpack is a company that produces backpacks primarily for students. They are considering offering some combination of two different models the Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Las Cruces Backpack has a long-term contract with a supplier of the nylon and receives a 5400 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. Las Cruces Backpack 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. (a) Formulate a linear programming model (LP) for this problem. Be sure to define your decision variables! (b) Provide LINDO input to solve the LP model provided in (a (e) Provide LINGO input to solve the LP model provided in (ay (d) Use LINDO (or LINGO) to solve the problem, and describe the optimal solution briefly in "plain English" (e) Use the graphical method by hand to solve the LP model provided in (1) Use the simplex algorithm to solve the LP model provided in (a) (Show the initial and each succeeding tableau)