Tesla Corporation has three different factories (A, B and C) where they make Premium Electric Sedans, which are then shipped to one of three warehouses (J, K, and L) where Tesla does the final paint job and ensures that the car meets all of their standards, after which the Sedans are then shipped to one of three retail stores (X, Y and Z) where customers can purchase the Sedan. The relevant supply, demand, and per-unit shipping cost information are given in the table below. Set-up and solve a transshipment model, while minimizing the total shipping cost for Tesla Corporation. Factory Supply A 400 B C 500 350 ΤΟ K L A $400 $700 $500 B $800 $500 $ 400 $500 $600 $ 700 C Store Demand From J X 400 Y 325 Z 400 TO From X Y J $600 $ 400 K L Z $ 800 $300 $600 $ 700 $200 $400 $ 500
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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?After applying the NWC Rule for the initial tableau of the given transportation model, evaluate the vacant cells. What is the cell which has the most negative evaluation value and what is the cell evaluation value? DESTINATION SOURCE DEMAND X Y N OX-R; 1 OY-S; -1 OX-S; -1 OY-S; -2 P 75 8 12 EI 11 Q 80 5 8 11 R 120 7 10 10 S 50 11 13 14 SUPPLY 100 125 100 325Craftwood Furniture Company is a U.S.–based furniture manufacturer that offshored all of its actual manufacturing operations to China about a decade ago. It set up a distribution center in Hong Kong, from which the company ships its items to the United States on container ships. The company learned early on that it could not rely on local Chinese freight forwarders to arrange for sufficient containers for the company’s shipments, so it contracted to purchase containers from a Taiwanese manufacturer and then sell them to shipping companies at the U.S. ports the containers are shipped to. Craftwood needs 715 containers each year. It costs $265 to hold a container at its distribution center, and it costs $6,000 to process and receive an order for the containers. The cost of not having sufficient containers and delaying a shipment is $14,000 per container. Determine the optimal order size, minimum total annual inventory cost, and maximum shortage level.
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- Ikagami Retail receives shipments of a particular product from Booker Store and PaulEnterprises. Let x = number of units of product received from Booker Store y = number of units of products received from Paul Enterprises Requirement: a. Write an expression for the total number of units of products received by Ikagami Retail.b. Shipments from Booker Store cost P20 per unit, and shipments from Paul Ent cost P25 per unit. Develop an objective function representing the total cost of shipments to Ikagami.c. Assuming a monthly demand at Ikagami is 5,000 units, develop a constraint that requires 5,000 units to be shipped to Ikagami.d. No more than 4,000 units can be shipped from Booker, and no more than 3,000 from Paul. Develop constraints to model this situation.e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at Ikagami at minimum cost.Ikagami Retail receives shipments of a particular product from Booker Store and PaulEnterprises. Let x = number of units of product received from Booker Store y = number of units of products received from Paul Enterprises Requirement: a. Write an expression for the total number of units of products received by Ikagami Retail.b. Shipments from Booker Store cost P20 per unit, and shipments from Paul Ent cost P25 per unit. Develop an objective function representing the total cost of shipments to Ikagami.c. Assuming a monthly demand at Ikagami is 5,000 units, develop a constraint that requires5,000 units to be shipped to Ikagami.As a logistics specialist, you are responsible for meeting customer demand. One of your customers places orders for you to supply four products by the end of October. You have limited capacity for raw material and other facilities. You are required to satisfy customer demand by manufacturing the products and/or buying from a supplier. After consulting with the production department, you obtained the following information. Product A Product B Product C Product D Order quantity 2000 3500 1500 2500 Hours required on machine X per unit 2 4 5 3 Hours required on machine Y per unit 4 3 6 2 Raw material in kilos 5 1 4 6 Time needed for Packaging per unit 36 minutes 30 minutes 45 minutes 24 minutes Available monthly hours per month: 8,000 on machine X, 6000 on machine Y, and 3,000 hours for packaging. Purchased items from your supplier are already packaged. Available raw material per month: 5,000 kilos…