2) Consider the following network representation of a transportationproblem:Des Moines2514Jefferson309CityKansas15City1020OmahaSt. Louis10SuppliesDemandsThe supplies, demands, and transportation costs per unit are shown on thenetwork.a. Develop a linear programming model for this problem; be sure to definethe variables in your model.

Suppose the No. of products transported from - Jefferson City to Des Moines be x11 Jefferson City to…

Answered: 2) Consider the following network…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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(Problem 1) A manager of Drexel Clothing Company has to make a decision on shipping. There are two shippers, A and B. Both offer a two-day rate: A for $500 and B for $525. In addition, A offers a three-day rate of $450 and a nine-day rate of $325 and B offers a four-day rate of $400 and a seven-day rate for $375. Annual holding costs are 25% of unit price. Four hundred boxes are to be shipped, and each box has a price of $250. The shipping charges are for the entire batch of 400 boxes. Which shipping alternative would you recommend? Explain.
A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs. The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are: PLANT CAPACITY (PIECES PER WEEK) WAREHOUSE 1 2 3 400 800 600 A B C D DEMAND (PIECES PER WEEK) 900 200 400 300 The estimated ship cost per box for the various routes are: ΤΟ FROM A B C D 1 5 7 9 12 2 10 7 2 3 3 8 9 6 4 Row/Column Opportunity Cost Demand Row/Column Cell Total Cost Opportunity Cost Cost of the above Test of unallocated Cells allocation Supply Amount char
A chain of home health care firms in Louisiana needsto locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scat-tered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by ateam of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates rep-resent a good central location for this office? What other factors might influence the office location decision? Where would youplace this office? Explain. PXCITY MAP COORDINATESx yCovington 9.2 3.5Donaldsonville 7.3 2.5Houma 7.8 1.4Monroe 5.0 8.4Natchitoches 2.8 6.5New Iberia 5.5 2.4Opelousas 5.0 3.6Ruston 3.8 8.5
3 A product is produced at three plants and shipped to three warehouses (the transportation costs per unit are shown in the following table). Warehouse Plant W, W2 W3 Plant Capacity P, P2 P3 20 16 24 300 10 10 500 12 18 10 100 Warehouse demand 200 400 300 a. Show a network representation of the problem. b. Develop a linear programming model for minimizing transportation costs; solve this model to determine the minimum cost solution. c. Suppose that the entries in the table represent profit per unit produced at plant i and sold to warehouse j. How does the model change from that in part (b)?
I. The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given to the right: Distance Distribution Center 1 2 4 1 800 1300 400 700 2 3 1100 1400 600 1000 600 1200 800 900 The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.
B & C
A manufacturing company has 4 factories and 3 warehouses. The costs for transporting its products from factories to ware houses, the supply capacity of factories and demands in warehouses are given respectively by 6 4 81 70 170 4 3 2 C = 130 S = D= 200 2 4 7 100 130 1 5 8 200 a. Use minimum cost method to find an initial feasible solution. b. Determine the amount of products to be transported from factories to warehouses to minimize the cost.
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