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.
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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