8.- The Donna Mosier clothing store has plants in three cities (W, Y andZ), which they distribute to three stores in three different cities (A, Band C). The following table shows the demands, capacities, andtransportation costs. Find the solution by the intuitive method of lowercost and stepping stone for the optimal solution.From ToABW$4Y$6Z$8Demand30$3$7$265C$3$6$540Capacity355050135

The transportation model is used to calculate the minimum cost of the route by selecting different…

Answered: 8.- The Donna Mosier clothing store has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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(2) Find an optimal solution for the following transportation problem. Town To Valley FROM Madison (M) Yonkers (1) Pittsburgh (P) Demand FROM Madison (M) Yonkers Pittsburgh FROM 3.50 Madison (M) Yonkers FROM $8 350 Madison (M) Yonkers (1) Pittsburgh $5 SIS 350 Valley (5) $8 $5 $15 Using the Stepping-Stone method to find an optimal plan. Tol Valley Town Junction (7) $8 Pittsburgh Demand 350 Part (a) Find the new TC= $5 $15 50 350 The above feasible plan is obtained by applying the Northwest Corner Rule (e.g., 300 from M to V, etc.), and its total cost = 350($8) +50($10)+150($12) +250($4)+200($11) +250($14) = $11.800, 150 $8 200 $5 The improvement indices below are determined as follows: Supply row M first, then sows Y and P) MJ: 9-4+12-10-2 400 MB: 6-11+12-10=-3 rv: 5-12+10-8-5 600 PP: 15-14+11-12-10-8-2 PT: 6-14+11-12- PA 11-14+11-4-4 Demand 350 200 the "most negative index" We focus on cell PT (index=-9). Its closed path is: PT to PB to YB to YT, and back to PT. To increase the…
7
2. By using the data below, use a transportation method to : COST in $ Assembly Plant Supply 210 Factory 2 A 8 9 400 10 6 12 8 190 Demand 120 620 60 A. Formulate this linear programming model B. If you are using VAM and NorthWest corner method, which solution is the best and how much is the best total cost ?
An auto company currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached. b) Using the intuitive lowest cost method, determines which of the candidate locations, inaddition to existing locations, gives the initial solution with a lower cost? c) Using the solutions obtained in b), identify which distribution center still faces a shortage. d) Suppose the company has chosen Houston as their third plant and would like to know the optimaltransportation strategy that minimizes overall costs by solving a minimum-cost flow problem.Terry has defined decision variables, represented as xij, to denote the number of items shippedfrom plant i to distribution center j wherei= C(Cincinnati), T(Tulsa), and H(Houston)j= B(Boston) and P(Phoenix)
(C) to four distribution centres. The following table shows the cost per (in RM), capacity, and demand for the company. To Distribution Centre Сарacity From F G H 8. 7 11 10 150 11 8. 9. 11 100 Demand 70 60 90 30 (a) Find an initial solution. (b) Determine an optimal solution and the minimum transportation cost. (c) Is there an alternative optimal solution? 5. Man Yee Company manufactures printers in two factories and ships them to three distribution centres. The following table shows the cost (RM) per um capacity, and demand for the company.
An auto compant currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached Using the northwest-corner method, determine the initial allocated quantity for eachshipping route as well as the overall cost.

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