6. 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 below: Distance Distribution Center 1 800 miles 1100 miles 600 miles Distribution Center 2 1300 miles 1400 miles 1200 miles Distribution Center 3 400 miles 600 miles 800 miles Distribution Center 4 Plant 1 Plant 2 Plant 3 The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Use Excel Solver to obtain an optimal solution. 700 miles 1000 miles 900 miles

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 63P
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6. 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 below:
Distance
Distribution
Center 1
800 miles
1100 miles
600 miles
Distribution
Center 2
Plant 1
1300 miles
Plant 2
1400 miles
Plant 3
1200 miles
The freight cost for each shipment is $100 plus 50 cents per mile.
How much should be shipped from each plant to each of the distribution centers to minimize
the total shipping cost?
(a) Formulate this problem as a transportation problem by constructing the appropriate
parameter table.
(b) Draw the network representation of this problem.
(c) Use Excel Solver to obtain an optimal solution.
Distribution
Center 3
Distribution
Center 4
400 miles
600 miles
800 miles
700 miles
1000 miles
900 miles
Transcribed Image Text:6. 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 below: Distance Distribution Center 1 800 miles 1100 miles 600 miles Distribution Center 2 Plant 1 1300 miles Plant 2 1400 miles Plant 3 1200 miles The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost? (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Use Excel Solver to obtain an optimal solution. Distribution Center 3 Distribution Center 4 400 miles 600 miles 800 miles 700 miles 1000 miles 900 miles
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