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 1150 1450 950 Distribution Center. 2 3 1650 750 1750 950 1550 1150 4 1050 1350 1250 The freight cost for each shipment is $100 plus 50 cents per mile. Obtain an optimal solution, and determine the total cost. Total Cost = $ 27300

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.5: Facility Location Models
Problem 24P
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Required information
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
1150
1450
950
Distribution Center.
2
3
1650
750
1750
950
1550
1150
4
1050
1350
1250
The freight cost for each shipment is $100 plus 50 cents
per mile.
Obtain an optimal solution, and determine the total cost.
Total Cost = $ 27300
Transcribed Image Text:! Required information 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 1150 1450 950 Distribution Center. 2 3 1650 750 1750 950 1550 1150 4 1050 1350 1250 The freight cost for each shipment is $100 plus 50 cents per mile. Obtain an optimal solution, and determine the total cost. Total Cost = $ 27300
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