Problem 4 [200] You are the owner and operator of a new trucking company, Pack and Shipp. LIC that has contracted to make 5 deliveries each week to customers denoted, A through E (see table below). You plan to capitalize on your knowledge of Systems Engineering to optimize operations. You have 4 different delivery trucks, each having different operational costs depending on assignment and weight capacities as follows: COST [S/LB] FOR CUSTOMER CAPACITY FIXED 550 450 TRUCK 3500 COSTIS | 065 | 050 | A. 0.55 0.45 0.38 2.000980 0.35 3,500 0.48 0.43 0.35 0.55 0.38 0.27 0.58 0.50 0.68 0.46 0.41 0.45 0.60 0.65 8,000 Each week, you must make a 2,000 lb. delivery to Customer A, a 3,000 lb. delivery to Customer B, a 2,500 lb. delivery to Customer C, a 4,800 lb. delivery to Customer D, and a 7,500 lb delivery to Custom E. Because of location, a single vehicle cannot deliver to both Customers A and B. Formulate and solve a mixed integer linear program (MILP) to determine the optimal shipping strategy that minimizes the overall transportation cost of your company's delivery operation. NOTE: You will probably need to define some continuous variables and some binary variables. Problem 4 [200] You are the owner and operator of a new trucking company, Pack and Shipp. LIC that has contracted to make 5 deliveries each week to customers denoted, A through E (see table below). You plan to capitalize on your knowledge of Systems Engineering to optimize operations. You have 4 different delivery trucks, each having different operational costs depending on assignment and weight capacities as follows: COST [S/LB] FOR CUSTOMER CAPACITY FIXED 550 450 TRUCK 3500 COSTIS | 065 | 050 | A. 0.55 0.45 0.38 2.000980 0.35 3,500 0.48 0.43 0.35 0.55 0.38 0.27 0.58 0.50 0.68 0.46 0.41 0.45 0.60 0.65 8,000 Each week, you must make a 2,000 lb. delivery to Customer A, a 3,000 lb. delivery to Customer B, a 2,500 lb. delivery to Customer C, a 4,800 lb. delivery to Customer D, and a 7,500 lb delivery to Custom E. Because of location, a single vehicle cannot deliver to both Customers A and B. Formulate and solve a mixed integer linear program (MILP) to determine the optimal shipping strategy that minimizes the overall transportation cost of your company's delivery operation. NOTE: You will probably need to define some continuous variables and some binary variables