award:Problem11-14Given the following information set up the problem in a transportation table and solve for the minimum-costplan:(Omit the "$" sign in your response.)Regulartime$ 60 per unitOvertime$ 80 per unitSubcontract$ 90 per unitInventorycarryingcost$ 1 per unit per monthBack-ordercost$ 3 per unit per monthMinimum total cost$124,730Explanation:Optimization and Scheduling for Production and Inventory Management: A Case Study in Transportation and MasterProduction SchedulingName:Professor:University attached:Problem11-14Given the following information set up the problem in a transportation table and solve for the minimum-costplan:(Omit the "$" sign in your response.)PERIOD123Demand550700750CapacityRegular500500500Overtime505050Subcontract120120100Beginning inventory100CostsRegulartime$ 60 per unitOvertime$ 80 per unitSubcontract$ 90 per unitInventorycarryingcost$ 1 per unit per monthBack-ordercost$ 3 per unit per monthMinimumtotalcost$125,344Answer: Instructor explanationAnswerPERIOD123Demand550700750CapacityRegular500500500Overtime505050Subcontract120120100Beginning inventory100Costs