This distribution system for the herman company

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11.This distribution system for the Herman Company consists of three plants, twowarehouses, and four customers. Plant capacities and shipping costs per unit (in $) fromeach plant to each warehouse are as follows:PlantWarehouseCapacity121$4$74502$8$56003$5$6380Customer demand and shipping costs per unit (in $) from each warehouse to eachcustomer are as follows:WarehouseCustomer12341$6$4$8$42$3$6$7$7Demand300300300400a.Develop a network representation of this problem.
b.Formulate a linear programming model of the problem.
c.Solve the linear program to determine the optimal shipping plan.
13.Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supplychain consists of three factories (located in Detroit, Los Angeles, and Austin) thatproduce skateboards. The Detroit and Los Angeles factories can produce 350 skateboardsper week, but that Austin plant is larger and can produce up to 700 skateboards per week.Skateboards must be shipped from the factories to one of the four distribution centers, orDCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center canprocess (repackage, mark for sale, and ship) at most 500 skateboards per week.Skateboards are then shipped from the distribution centers to retailers. Sports ofAll Sorts supplies three major U.S. retailers: Just Sports, Sports `N Stuff, and The SportsDude. The weekly demands are 200 skateboards at Just Sports, 500 skateboards at Sports

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Term
Spring
Professor
N/A
Tags
Supply Chain Management, Distribution center, Clermont County Ohio, Iowa DC capacity

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