6.- Comfort Zone Furniture has plants in Boston, Dallas and Seattle,which ship their production to four demand centers, with thetransportation costs indicated in the following table. Using thenorthwest corner method and stepping stone find the optimal solution.BostonDallasSeattleDemand1$3$6$1202$5$8$9603$7$5$7304$4$2$340Capacity505050150

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

Answered: 6.- Comfort Zone Furniture has plants…

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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Example 3: With the help of North-West Corner method, solve the following transportation problem: W1 W2 W3 W4 Supply P1 21 40 30 15 10 P2 60 25 50 55 8. P3 45 10 60 10 17 Demand 7 8 14 35
2. Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage collection areas within the metropolis. The city wants to determine the least-cost method of disposing of its trash. Each incinerator is characterized by an operating cost for processing each ton of waste and also a cost for transporting each ton of waste is summarized in the table below: Collection Incinerator Site Area 1 2 3 4 50 120 110 60 B 100 55 90 70 60 40 80 65 90 75 85 110 80 100 95 65 Incinerator sites 1 and 2 have a weekly capacity of 6,000 tons each, site 3 has a capacity of 8,000 tons and site 4 has a capacity of 10,000 tons. There are 4,000 tons of waste generated at area A, 8,000 tons at area B and 5,000 tons each at areas C and D, each week. A total of 25,000 tons of waste each week are generated from all five areas.
Problem 4
(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…
Supply Solve the following Transportation problem using best cell method What is the total cost? 1 2 3 4 A 25 3 10 5 9 Destination B 35 2 1 2 6 C 10 1 2 8 3 D 30 1 2 8 3 25 20 25 30
#4. The Pelican Company has four distribution centers (A, B, C, and D) that require 50,000, 40,000, 60,000 and 40,000 liters of diesel fuel, respectively, per month for their long-haul trucks. Three fuel wholesalers (1, 2 and 3) have indicated their willingness to supply as many as 60,000, 80,000, and 50,000 liters of fuel, respectively. The total cost (shipping and price) of delivering 1000 liters of fuel from each wholesaler to each distribution center is shown in the following table. Distribution center Wholesaler A B C D • 1 1700 1600 1600 1600 2 1500 1800 1600 1700 3 1800 1500 1800 1600 I. Determine the optimal solution. Check if all capacities have been exhausted and that all demands can be met with this solution. II. What is the total cost of the solution?
Prescott Industries transports sand and stone extracted fromits open-pit mines located in Odessa and Bryan to its con-crete block manufacturing facilities in Abilene, Tyler, and SanAngelo. For the capacities, locations, and shipment costs pertruckload shown in the Figure 13.13, determine the shippingpattern that will minimize transportation costs. What are theestimated transportation costs associated with this optimalallocation pattern?
(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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6.- Comfort Zone Furniture has plants in Boston, Dallas and Seattle, which ship their production to four demand centers, with the transportation costs indicated in the following table. Using the northwest corner method and stepping stone find the optimal solution.