v2.cengagenow.com C + 88 My Home C CengageNOWv2 | Online teaching and learning resource from Cengage Learning Homework Help - Q&A from Online Tutors - Course Hero Topic 5 - Linear Programming: Distril Problem 10-13 Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists 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 DCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week. Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies three major U.S. retailers: Just Sports, Sports 'N Stuff, 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. Shipping Costs ($ per skateboard) Factory/DCs Iowa Maryland Idaho Arkansas Detroit $25.00 $25.0 $35.00 $40.00 Los Angeles $35.00 $45.0 $35.0 $42.50 Austin $40.00 $40.00 $42.50 $32.50 Retailers/DCs Iowa Maryland Idaho Arkansas Just Sports $30.00 $20.00 $35.00 $27.50 Sports 'N Stuff $27.50 $32.50 $40.00 $25.00 The Sports Dude $30.00 $40.00 $32.50 $42.50 a. Choose the correct network representation of this problem. (ii) DC Capacity Demand Supply Demand 500 25 30 30 200 8 350 Detroit 35 Iowa 27.5 Just 200 Sports 40 500 30 20 2 32 5 Maryland 350 45 LA 500 40 Sports 500 500 40 Stuff 35 40 6 Idaho 35 32.5 35