2.The GOODBABY Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1,2 and 3 produce 20, 22 and 18 shipments per month, respectively. Each distribution center needs to re ceive 15 shipments per month. The distance from each plant to the respective distributing centers is given in the following table. The shipping cost for each shipment is $10 per mile. The question is: How mu ch should be shipped from each plant to each of the distribution centers to mi nimize the total shipping cost? Please construct the proper parameter table an d formulate this problem as a transportation problem model. Distance Distribution center 1 2 3 4 Plant 1 60 miles 130 miles 30 miles 75 miles Plant 2 90 miles 130 miles 60 miles 120 miles Plant 3 50 miles 90 miles 100 miles 120 miles

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 29P
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2.The GOODBABY Company has three plants producing child push chairs that
are to be shipped to four distribution centers. Plants 1,2 and 3 produce 20, 22
and 18 shipments per month, respectively. Each distribution center needs to re
ceive 15 shipments per month. The distance from each plant to the respective
distributing centers is given in the following table.
The shipping cost for each shipment is $10 per mile. The question is: How mu
ch should be shipped from each plant to each of the distribution centers to mi
nimize the total shipping cost? Please construct the proper parameter table an
d formulate this problem as a transportation problem model.
Distance
Distribution center
1
2
3
4
Plant 1
60 miles
130 miles
30 miles
75 miles
Plant 2
90 miles
130 miles
60 miles
120 miles
Plant 3
50 miles
90 miles
100 miles
120 miles
Transcribed Image Text:2.The GOODBABY Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1,2 and 3 produce 20, 22 and 18 shipments per month, respectively. Each distribution center needs to re ceive 15 shipments per month. The distance from each plant to the respective distributing centers is given in the following table. The shipping cost for each shipment is $10 per mile. The question is: How mu ch should be shipped from each plant to each of the distribution centers to mi nimize the total shipping cost? Please construct the proper parameter table an d formulate this problem as a transportation problem model. Distance Distribution center 1 2 3 4 Plant 1 60 miles 130 miles 30 miles 75 miles Plant 2 90 miles 130 miles 60 miles 120 miles Plant 3 50 miles 90 miles 100 miles 120 miles
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