DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN.

DO NOT COPY PASTE ANSWER. I WILL THUMBS DOWN.

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. Shipping Costs ($ per skateboard) Factory/DCS Iowa Maryland Idaho Arkansas Detroit 25.00 25.00 35.00 40.00 12 Los Angeles 35.00 45.00 35.00 42.50 3 Austin 40.00 40.00 42.50 32.50 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. Retailers/DCs Shipping Costs ($ per skateboard) 16 Maryland Idaho Arkansas 7 Iowa Just Sports 30.00 20.00 35.00 27.50 L9 Sports 'N Stuff 27.50 32.50 40.00 25.00 The Sports Dude 30.00 40.00 32.50 42.50 (a) Draw the network representation for this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (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 Detroit 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, Sports Stuff be node 9, and Sports Dude be node 10. Express your answers in the form x, where x, represents the number of units shipped from node i to node j.) +35x10 + 40x17 + 35x24 + 45x25 + 35x20 + 42.5x27 + 40x34 + 40x 45 + 42.5x36 + 32.5x, Min 25X14 + 25x15 + x s.t. Detroit Production *14 +X15+X10 +*175 350 Los Angeles Production *24 + x 25 + X20 + X27 S 350 Austin Production *34 +X35 + X30 +X37 5 700 Iowa Shipments *14 +*24 + x34 -348 -849-*410 = 0 Maryland Shipments *14 +*24 + x34 48 *49 410 SO x Idaho Shipments *14 + X24 + X34 - X48 - X49- X410 S0 x Arkansas Shipments *14 +224 +234 -*48 *49*410 50 x Iowa Processing *14 + X24 + x34 S 500 Maryland Processing *15 + X25+X35 S 500 Idaho Processing *10 + X20 +X30 500 Arkansas Processing *17 +*27+X37 S 500 Just Sports Demand *48+*58 +X78 = 200 X Sports Stuff Demand *49 +239 +X79 500 X Sports Dude Demand *410 + X310 +X710 650 x X 0 for all i and j. What is the optimal production strategy and shipping pattern for Sports of All Sorts? Enter the number of units shipped where x, represents the number of units shipped from node i to node j. 150 200 0 0 200 0 150 10 150 0 10 500 X 14 X 15 X16X17 X24 X 25 X 26 X 27 X34X35 X36 37 X48 X58 58 X78 *49 X59 69 X79 *410 X510 X610 *710] 0 0 500 200 10 0 0 0 150 0 500 0 x What is the minimum attainable transportation cost in dollars)? $ 79625 (c) Sports of All Sorts is considering expansion of the Iowa DC capacity to 800 units per week. The annual amortized cost of expansion is $40,000. Should the company expand the Iowa DC capacity so that it can process 800 skateboards per week? (Assume 50 operating weeks per year.) per week. Therefore, the potential savings over 50 weeks is 50 x 375 Jx $ = $ 18750 per year. The $40,000 cost of The cost of the optimal solution associated with this increased capacity at the Iowa distribution center is $ 79250 expansion exceeds the potential savings, so Sports of All Sorts should not expand. 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. Shipping Costs ($ per skateboard) Factory/DCS Iowa Maryland Idaho Arkansas Detroit 25.00 25.00 35.00 40.00 12 Los Angeles 35.00 45.00 35.00 42.50 3 Austin 40.00 40.00 42.50 32.50 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. Retailers/DCs Shipping Costs ($ per skateboard) 16 Maryland Idaho Arkansas 7 Iowa Just Sports 30.00 20.00 35.00 27.50 L9 Sports 'N Stuff 27.50 32.50 40.00 25.00 The Sports Dude 30.00 40.00 32.50 42.50 (a) Draw the network representation for this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (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 Detroit 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, Sports Stuff be node 9, and Sports Dude be node 10. Express your answers in the form x, where x, represents the number of units shipped from node i to node j.) +35x10 + 40x17 + 35x24 + 45x25 + 35x20 + 42.5x27 + 40x34 + 40x 45 + 42.5x36 + 32.5x, Min 25X14 + 25x15 + x s.t. Detroit Production *14 +X15+X10 +*175 350 Los Angeles Production *24 + x 25 + X20 + X27 S 350 Austin Production *34 +X35 + X30 +X37 5 700 Iowa Shipments *14 +*24 + x34 -348 -849-*410 = 0 Maryland Shipments *14 +*24 + x34 48 *49 410 SO x Idaho Shipments *14 + X24 + X34 - X48 - X49- X410 S0 x Arkansas Shipments *14 +224 +234 -*48 *49*410 50 x Iowa Processing *14 + X24 + x34 S 500 Maryland Processing *15 + X25+X35 S 500 Idaho Processing *10 + X20 +X30 500 Arkansas Processing *17 +*27+X37 S 500 Just Sports Demand *48+*58 +X78 = 200 X Sports Stuff Demand *49 +239 +X79 500 X Sports Dude Demand *410 + X310 +X710 650 x X 0 for all i and j. What is the optimal production strategy and shipping pattern for Sports of All Sorts? Enter the number of units shipped where x, represents the number of units shipped from node i to node j. 150 200 0 0 200 0 150 10 150 0 10 500 X 14 X 15 X16X17 X24 X 25 X 26 X 27 X34X35 X36 37 X48 X58 58 X78 *49 X59 69 X79 *410 X510 X610 *710] 0 0 500 200 10 0 0 0 150 0 500 0 x What is the minimum attainable transportation cost in dollars)? $ 79625 (c) Sports of All Sorts is considering expansion of the Iowa DC capacity to 800 units per week. The annual amortized cost of expansion is $40,000. Should the company expand the Iowa DC capacity so that it can process 800 skateboards per week? (Assume 50 operating weeks per year.) per week. Therefore, the potential savings over 50 weeks is 50 x 375 Jx $ = $ 18750 per year. The $40,000 cost of The cost of the optimal solution associated with this increased capacity at the Iowa distribution center is $ 79250 expansion exceeds the potential savings, so Sports of All Sorts should not expand