ABC Ltd buys 15 used trucks at each of two truck auctions each week held at different locations. It then transports the trucks to repair shops it contracts with. When they are restored to ABC's specifications, ABC sells 10 each to three different used truck lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used truck lots. ABC is concerned with minimizing its total cost given the costs in the table below.

 

a. Given the costs below, draw a network representation for this problem (show all the data).
	Repair Shops		Used Truck Lots
	S1	S2		L1	L2	L3
Auction 1	550	500	S1	250	300	500
Auction 2	600	450	S2	350	650	450
b. Formulate this problem as a linear programming model.     Define the decision variables     Formulate the objective function     Formulate the constraints   c. Use Excel's Solver to find the optimal solution to this problem.     Report the total cost     Interpret the optimal solution: how many trucks (if any) should be sent from each Auction to each Repair Shop and from Each Repair Shop to each Used Truck Lot?