11:18 AM ...0.1KB/s © 80 Chapter 6 The Transportaiton problem - Read-only Read Only - You can't save changes to this file. Save a copy Dismiss Exercise A model formulation exercise of Transportation Problem 6.1. 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, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given in the table. Distance Distribution Center 2 3 700 miles 800 miles 1,300 miles 1,100 miles 1,400 miles 600 miles 1,200 miles 400 miles 1,000 miles 900 miles Plant 600 miles 3 800 miles The freight cost for each shipment is $100 per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Draw the network representation of this problem. (b) Construct the appropriate parameter table and formulate this problem as a transportation problem. III

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Chapter 6 The Transportaiton problem - Read-only
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A model formulation exercise of Transportation Problem
6.1. 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, respectively. Each distribution center needs to
receive 10 shipments per month. The distance from each plant to the respective distributing centers is given in
the table.
Distance
Distribution Center
2
3
700 miles
800 miles 1,300 miles
1,100 miles 1,400 miles
600 miles 1,200 miles
400 miles
1,000 miles
900 miles
Plant
600 miles
3
800 miles
The freight cost for each shipment is $100 per mile.
How much should be shipped from each plant to each of the distribution centers to minimize the total
shipping cost?
(a) Draw the network representation of this problem.
(b) Construct the appropriate parameter table and formulate this problem as a transportation problem.
III
Transcribed Image Text:11:18 AM ...0.1KB/s © 80 Chapter 6 The Transportaiton problem - Read-only Read Only - You can't save changes to this file. Save a copy Dismiss Exercise A model formulation exercise of Transportation Problem 6.1. 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, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given in the table. Distance Distribution Center 2 3 700 miles 800 miles 1,300 miles 1,100 miles 1,400 miles 600 miles 1,200 miles 400 miles 1,000 miles 900 miles Plant 600 miles 3 800 miles The freight cost for each shipment is $100 per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Draw the network representation of this problem. (b) Construct the appropriate parameter table and formulate this problem as a transportation problem. III
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