The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 3 550 750 950 Plant 1 3 1 950 1250 750 2 1450 Obtain an optimal solution, and determine the total cost. Total Cost = $ 1550 1350 The freight cost for each shipment is $100 plus 50 cents per mile. 4 850 1150 1050

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers.
Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center needs to receive
10 shipments per month. The distance from each plant to the respective distributing centers is given below:
Distance
Plant
1
2
3
1
950
1250
750
Distribution Center
3
550
750
950
Obtain an optimal solution, and determine the total cost.
Total Cost = $
2
1450
1550
1350
The freight cost for each shipment is $100 plus 50 cents per mile.
4
850
1150
1050
Transcribed Image Text:The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Plant 1 2 3 1 950 1250 750 Distribution Center 3 550 750 950 Obtain an optimal solution, and determine the total cost. Total Cost = $ 2 1450 1550 1350 The freight cost for each shipment is $100 plus 50 cents per mile. 4 850 1150 1050
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