Linear Programming 1. While being enrolled at a local university, you want to work as a part-time employee at a local Walmart store. The pay rate at the Walmart store is $10 an hour. Since you have to invest a certain portion of time in your coursework, you can work as a part-time employee up to 20 hours a week. Suppose you want to decide how many hours you need to work for your part-time job to maximize your weekly earning. (a) Define the decision variable. (b) Ifyou work 15 hours a week as a part-timeemployee, what's your weekly earning? (e) Develop a math expression for the weekly earing when you work hours a week as a part-time employee. (d) Developamathexpression for theconstraint thatlimits the total number of hours you invest in your part-time job to 20 hours or less. () By adding the non-negativity constraint. Tevelop an LP model for maximizing your weekly earning. Maximize Subject to (1) Fill out the following table. Weekly Earning Hours Worked per Week Feasible Solution? X 5 10 15 20 25 30 (g) List all feasible solutions from the above table. (h) Last all infeasible solutions from the above table. (i) Find the optimal solution from the above table