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 Angelefacilities 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, orDCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week.Factory/DCsDetroitLos AngelesMinAustins.t.Retailers/DCsDetroit ProductionLos Angeles ProductionAustin ProductionIowa ShipmentsMaryland ShipmentsIdaho ShipmentsArkansas ShipmentsIowa ProcessingMaryland ProcessingIdaho Processing12Arkansas ProcessingJust Sports DemandSports Stuff DemandSkateboards 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 skateboardat 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 shippingbetween the DCs and the retailers.3X14 X15 X16X17X24 X25 X25 X27X34 35 36 37X48 X58 X68 X78IowaX49 X59 X69 X79X410 X510 X610 *710]25.00Need Help?35.00Just SportsSports 'N StuffThe Sports Dude(a) Draw the network representation for this problem. (Submit a file with a maximum size of 1 MB.)Choose File No file chosenThis answer has not been graded yet.40.00Read It89=Shipping Costs ($ per skateboard)61Iowa30.00Maryland27.5025.0030.0045.0040.00(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 benode 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. Expressyour answers in the form x,, where x, represents the number of units shipped from node i to node j.)Idaho35.0032.5035.0040.0042.50Shipping Costs ($ per skateboard)6Maryland 5 Idaho20.0035.00What is the minimum attainable transportation cost (in dollars)?$Arkansas40.0040.0042.5032.5032.50ArkansasSports Dude Demandx 20 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.27.5025.00742.50(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 canprocess 800 skateboards per week? (Assume 50 operating weeks per year.)The cost of the optimal solution associated with this increased capacity at the Iowa distribution center is $50x ($[- $= $per year. The $40,000 cost of expansion --Select---per week. Therefore, the potential savings over 50 weeks is✓the potential savings, so Sports of All Sorts ---Select--- expand.

The Sports of all Sorts has 3 supply chain located in Detroit, Los Angeles, and Austin. The Detroit…

Answered: Sports of All Sorts produces,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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