Determine whether the statement is true or false. In a transportation problem with total supply equal to total demand, if there are two origins and three destinations, and there is a unique optimal solution, the optimal solution will utilize 5 shipping routes. True or False

Determine whether the statement is true or false. In a transportation problem with total supply equal to total demand, if there are two origins and three destinations, and there is a unique optimal solution, the optimal solution will utilize 5 shipping routes. True or False

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…
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Sarah and Alice live and work in different regions of the same country. Each is considering a move to the most economically-prosperous region of this country (referred to below as the “destination region”). Assume that Sarah and Alice are identical in every way except for the following differences: Sarah’s home region is next to the destination region Sarah’s home region is culturally distinct from all other regions in the country Alice’s home region is roughly 2000 km away from the destination region Sarah is 25 years old, while Alice is 35 The unemployment rate in Sarah’s home region is 6.5% The unemployment rate in Alice’s home region is 8% The unemployment rate in the destination region is 5% a) Given this information, describe two reasons why we might expect Sarah to be more likely than Alice to migrate to the destination region. b) Given this information, describe two reasons why we might expect Alice to be more likely than Sarah to migrate to the destination region.
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2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees.…
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The prices for traveling between five cities in Colorado by bus are given in the table below. Use the edge-picking algorithm to find a low-cost bus route that starts and ends in Boulder and visits each city. Colorado Springs Grand Junction $48 $24 $21 $44 $57 Boulder Denver Boulder $15 Colorado Springs $24 Grand Junction $48 Durango $73 Denver $15 $21 $44 $71 O Boulder-Denver-Colorado Springs-Grand Junction-Durango-Boulder O Boulder-Colorado Springs-Denver-Durango-Grand Junction-Boulder O Boulder-Colorado Springs-Denver-Grand Junction-Durango-Boulder O Boulder-Denver-Colorado Springs-Durango-Grand Junction-Boulder O Boulder-Grand Junction-Colorado Springs-Denver-Durango-Boulder $57 $58 -- $31 Durango $73 $71 $58 $31
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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.