Solve the following problem. Show COMPLETE solution. 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 transportation cost per unit from each plant to the respective distributing centers is given on the table below. Distribution Centers Plant A В C D 1 8 13 4 7 2 11 14 6 10 3 6 12 8 9 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 transportation tableau. (b) Solve for the initial feasible solution. (c) Obtain an optimal solution.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Transportation Problem

Solve the following problem. Show COMPLETE solution.
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 transportation cost per unit from each
plant to the respective distributing centers is given on the table below.
Distribution Centers
Plant
А
В
C
D
1
13
4
7
2
11
14
10
3
6.
12
8.
9
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 transportation tableau.
(b) Solve for the initial feasible solution.
(c) Obtain an optimal solution.
Transcribed Image Text:Solve the following problem. Show COMPLETE solution. 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 transportation cost per unit from each plant to the respective distributing centers is given on the table below. Distribution Centers Plant А В C D 1 13 4 7 2 11 14 10 3 6. 12 8. 9 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 transportation tableau. (b) Solve for the initial feasible solution. (c) Obtain an optimal solution.
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