TowAlongmakes trailers at plants in Kansas City, Denver, and Raleigh and ships these units to distribution centers in Birmingham, Milwaukee, Los Angeles, and Seattle. In planning production for the next year, TowAlongestimates unit shipping cost between any plant and distribution center, plant capacities, and distribution center demands. These numbers are given in the table. TowAlongfaces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, while not exceeding capacity and while meeting demand.     Distribution Center   Plant Birmingham Milwaukee Los Angeles Seattle Capacity Kansas City $35 $40 $60 $120 12000 Denver $30 $30 $45 $130 8000 Raleigh $60 $65 $50 $100 5000 Demand 9,000 3,000 9,500 1,500       Based on the assumption, the minimal total transportation cost next year will........?  ...........units of trailers will be shipped from Denver plant to Los Angeles distribution center to obtain the minimum total cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
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TowAlongmakes trailers at plants in Kansas City, Denver, and Raleigh and ships these units to distribution centers in Birmingham, Milwaukee, Los Angeles, and Seattle. In planning production for the next year, TowAlongestimates unit shipping cost between any plant and distribution center, plant capacities, and distribution center demands. These numbers are given in the table. TowAlongfaces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, while not exceeding capacity and while meeting demand.

 

 

Distribution Center

 

Plant

Birmingham

Milwaukee

Los Angeles

Seattle

Capacity

Kansas City

$35

$40

$60

$120

12000

Denver

$30

$30

$45

$130

8000

Raleigh

$60

$65

$50

$100

5000

Demand

9,000

3,000

9,500

1,500

 

 

 

Based on the assumption, the minimal total transportation cost next year will........?

 ...........units of trailers will be shipped from Denver plant to Los Angeles distribution center to obtain the minimum total cost.

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