Sports of Al Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of threo factories (located in Detroit, tos Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles faclifies can produce 350 skatcboards per week, but the Aurtin plant is larger and can produce up to 7o0 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Jowa, Maryand, Idaho, and Arkansas). Fach dirtribution center can process (repackage, mark for sale, and ship) at most 500 . skateboards per week. Skatebourds are then shipped from the distributien centers te retailers. Sporte of All Sorts supples throe major U.S. recailers: Just Sports, Sports 'N Stulf, and The Sports Dude. The neekly eemands are 200 skateboards at Just Sports, se0 skateboards at 5 ports w 5 tutt, and 650 skateboards at The Sports Dude. The following tables dsplay the per-unit costs for shipping skateboards between the factories and 0C and for shipping between the DCs and the retallere. (a) Diaw the eetiderk tepcesentation for thia problem. (Sitent a file with a maximum tive of 1 MB) No fin chesen (b) Build a model to minimize the transportation cost of a logistics system that will deliver skateboards from the factories to the distribution centers and from the distribution centers to the retailers. (Let Detreit be node 1, Los Angeles be node 2. Austin be node 3, Iowa be node 4, Maryland be node 5, Idaho be node 6, Arkansas be node 7, Just Sports be node 8, 5ports Stuff be node 9 , and Sports Dude be nede 10. Express your answers in the form xy where xy represents the number of units shipped from node i to node f. Min s.t. Detroit Prodaction Los Angeles Production Austin Preduction Iowa shipments Maryland shipments Idaho stipmente Arkartas stipments lowa Prockswing Maryand frocessing Idaho Precessing Arkancos Procewing Sust sports Demund Spurts stut Demand x0 for af i and y. What is the optimal production strategy and shipping patters for 5 ports of Al sorts? Enter the numbor of units nhipped where xy represents the number of units shipped frem node ito noc What is the minimum antainatle transportatiee coet (in dolars)? 6) Sportw of All Sorts is comsidering expansion of the tona oc capacty to b00 units per waek. the annat amertired cost of expansion is 140,000 , should the company axpand the toma DC capacky wa that it can precess boo skateboards per weeke (Assume so operating weeks per year) Thu cost of the optimai solution assocated with thin increased casacity at the Lewa dutribution center in s Der week. therefore, the potentiat swinge over 50 weeka is the potental swings so siports of all tsets axpand Sports of Al Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of threo factories (located in Detroit, tos Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles faclifies can produce 350 skatcboards per week, but the Aurtin plant is larger and can produce up to 7o0 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Jowa, Maryand, Idaho, and Arkansas). Fach dirtribution center can process (repackage, mark for sale, and ship) at most 500 . skateboards per week. Skatebourds are then shipped from the distributien centers te retailers. Sporte of All Sorts supples throe major U.S. recailers: Just Sports, Sports 'N Stulf, and The Sports Dude. The neekly eemands are 200 skateboards at Just Sports, se0 skateboards at 5 ports w 5 tutt, and 650 skateboards at The Sports Dude. The following tables dsplay the per-unit costs for shipping skateboards between the factories and 0C and for shipping between the DCs and the retallere. (a) Diaw the eetiderk tepcesentation for thia problem. (Sitent a file with a maximum tive of 1 MB) No fin chesen (b) Build a model to minimize the transportation cost of a logistics system that will deliver skateboards from the factories to the distribution centers and from the distribution centers to the retailers. (Let Detreit be node 1, Los Angeles be node 2. Austin be node 3, Iowa be node 4, Maryland be node 5, Idaho be node 6, Arkansas be node 7, Just Sports be node 8, 5ports Stuff be node 9 , and Sports Dude be nede 10. Express your answers in the form xy where xy represents the number of units shipped from node i to node f. Min s.t. Detroit Prodaction Los Angeles Production Austin Preduction Iowa shipments Maryland shipments Idaho stipmente Arkartas stipments lowa Prockswing Maryand frocessing Idaho Precessing Arkancos Procewing Sust sports Demund Spurts stut Demand x0 for af i and y. What is the optimal production strategy and shipping patters for 5 ports of Al sorts? Enter the numbor of units nhipped where xy represents the number of units shipped frem node ito noc What is the minimum antainatle transportatiee coet (in dolars)? 6) Sportw of All Sorts is comsidering expansion of the tona oc capacty to b00 units per waek. the annat amertired cost of expansion is 140,000 , should the company axpand the toma DC capacky wa that it can precess boo skateboards per weeke (Assume so operating weeks per year) Thu cost of the optimai solution assocated with thin increased casacity at the Lewa dutribution center in s Der week. therefore, the potentiat swinge over 50 weeka is the potental swings so siports of all tsets axpand
