Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question
The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost.
Factory
|
Shipping Cost per Case to each Warehouse
|
Capacity
|
|||||||||||
W1
|
W2
|
W3
|
W4
|
W5
|
Dummy
|
||||||||
F1
|
|
$4
|
|
$5
|
|
$4
|
|
$3
|
|
$6
|
|
$0
|
50,000
|
|
|
|
|
|
|
||||||||
F2
|
|
$3
|
|
$4
|
|
$4
|
|
$5
|
|
$7
|
|
$0
|
80,000
|
|
|
|
|
|
|
||||||||
F3
|
|
$3
|
|
$4
|
|
$5
|
|
$3
|
|
$5
|
|
$0
|
90,000
|
|
|
|
|
|
|
|
|||||||
F4
|
|
$4
|
|
$6
|
|
$5
|
|
$6
|
|
$3
|
|
$0
|
40,000
|
|
|
|
|
|
|
|
|||||||
Demand
|
45,000
|
30,000
|
30,000
|
45,000
|
50,000
|
60,000
|
260,000
|
The minimum shipping cost is
$nothing.
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