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2. [-/20 Points) DETAILS ASWMSCI15.6.6.013 MY NOTES ASK YOUR TEACHER Sports of All Sorte produces, distributes, and selle high-quality skateboards. Its poly chain contets of three factories located in Detroit, Los Angeles, and Austin that produce Skateboards. The Detroit and Los Angeles facilities can produce 350 skateboards per week, but the Austin plant is larger and can produce up to 700 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DC (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at moet so skateboards per week Factory/DC Shipping Costs (per skateboard) G A Maryland Idaho Arkansas Towa Detroit ge 25.00 25.00 35.00 40.00 Los Angeles 35.00 45.00 35.00 42.50 Austin 40.00 40.00 42.50 32.50 Skateboards are the shipped from the distribution centers to retailers, Sports of Al Sarts supplies three major U.S. retailers Just Sports Sports N Stutt, and The Sports Dude. The weekly demands are 200 skateboards at Just Sports, 500 skateboards at Sports 'N Stuff, and 650 skateboards at The Sports Dude. The following tables display the per-unit costs for shipping Skateboards between the factories and DCs and for shipping between the DCs and the retailers. Retailers/DCS Shipping costs (6 per skateboard) 5 Maryland Idaho Arkansas Iowa B Just Sports 30.00 20.00 35.00 27.50 Sports 'N Stuff 27.50 32.50 40.00 25.00 The Sports Dude 30.09 40.00 1250 42.50 (a) Draw the network representation for this problem. (Submit a file with a maximum size of 1 MB) Choose File Nome chosen This awer has not been graded yot. (b) Build a model to minimize the transportation cost of a logistics system that will delver skateboards from the factories to the distribution centers and from the distribution centers to the retailers. (Let Detroit be node 1, Los Angeles be node 2. Austin De node 3, Towabe node 4, Maryland be node 5. Idaho be node 6, Arkansas be node. Just Sports be nade 8, Sports Stuff be node 9 and Sports Dude benode 10 Express your answers in the form, where represents the number of units shipped from node to node Ma Detroit Production Los Angeles Production Austin Production Iowa Shipments Maryland Shipments Idaho Shipments Arkansas Shipments Towa Processing Maryland Processing Idaho Processing Arkansas Processing Maryland Shipments Idaho Shipments Arkansas Shipments Towa Processing Maryland Processing Idaho Processing Arkansas Processing Just Sports Demand Sports Stuff Demand Sports Dude Demand go for all and what is the optimal production strategy and shipping pattern for Sports of All sorts? Enter the number of units shipped where represents the number of units shipped from node to nodej * * * * *24 X *26* 34 35 36 37 * * * *40*99* *410*5110710 NOO JIJINI HIJNIE What is the minimum attainable transportation cost in dollars)? $ (c) Sports of all sorts is considering expansion of the lowa DC Capacity to 800 unts per week. The area amortized cost of expansion is 540,000. Should the company expand the lowa DC capacity so that can process 100 steboards per week (Assume Seperating was per year) The cost of the optimal solution associated with this increased capacity at the low distribution center is per week. Therefore, the potential savings over 50 weeks is 50x ($ per year. The 540,000 cost of patsion Select the potential savogs.se Sports of All Sorts Select expand