I. 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 to the right: Distance Distribution Center 2 3 1 800 4 1 1300 400 700 1100 600 1400 1200 600 800 1000 900 2 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) Obtain an optimal solution. Plant
I. 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 to the right: Distance Distribution Center 2 3 1 800 4 1 1300 400 700 1100 600 1400 1200 600 800 1000 900 2 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) Obtain an optimal solution. Plant
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![I. 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 to the right:
Distance
Distribution Center
1
2
4
1
800
1300
400
700
2
3
1100
1400
600
1000
600
1200
800
900
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) Obtain an optimal solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30864f1b-37ae-403d-a95a-864c93561468%2Fecc75566-020d-4982-a9ab-482e6e329b32%2Fhleczy_processed.png&w=3840&q=75)
Transcribed Image Text:I. 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 to the right:
Distance
Distribution Center
1
2
4
1
800
1300
400
700
2
3
1100
1400
600
1000
600
1200
800
900
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) Obtain an optimal solution.
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