11. The distribution system for the Herman Company consists of three plants, two warehouses,and four customers. Plant capacities and shipping costs per unit (in $) from each plant toeach warehouse are as follows:Plant123Warehouse12DemandWarehouse14851633002756Customer demand and shipping costs per unit (in $) from each warehouse to each customerare as follows:CustomerCapacity450600380246300387300a. Develop a network representation of this problem.b. Formulate a linear programming model of the problem.C. Solve the linear program to determine the optimal shipping plan.4740012. Refer to Problem 11. Suppose that shipments between the two warehouses are permitted at$2 per unit and that direct shipments can be made from Plant 3 to Customer 4 at a cost of$7 per unit.a. Develop a network representation of this problem.b. Formulate a linear programming model of this problem.C.Solve the linear program to determine the optimal shipping plan.

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Answered: The distribution system for the Herman…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
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