Supply Chain modeling with linear programming and excel

Problem 6. (5 points) Froberg Aerospace LLC. has three plants producing small-sat propulsion units that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distribution centers is given below. Distance to Distribution Center (Miles) Distribution Distribution Distribution Distribution Plant Center 1 Center 2 Center 3 Center 4 1 1,300 400 700 2 1,100 1,400 600 1,000 3 1,200 800 900 800 600 The freight cost for each shipment is $100 plus 50 cents/mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? a. Formulate this problem as a LP problem in algebraic form. b. Formulate this LP model as a transportation problem on a spreadsheet in Excel and then use Solver to obtain an optimal solution. c. Answer the aforementioned question on the quantity shipped from each plant to each distribution center