A large manufacturing company is losing three of its existing plants and intends to transfer some employees to three plants that will remain open. The number of employees available for transfer from each closing plant is as follows: Closing plants Available employees 60 1 2 105 3 70 Total 235 The following numbers of employees can be accommodated at the three plants remaining open: Remaining plants Employees required A 45 B с 35 Total 170 Each transferred employee will increase the amount of product produced at each plant, as shown in the following table: From To location location A B с 1 5 8 6 2 10 9 12 3 7 6 8 The company wants to transfer employees to ensure the maximum increase in product output. Solve this problem using the transportation Simplex method (section 2.1) to find the maximum increase in product output and the number of employees transferred between each plant. You must show all working including the intermediate and final tableaux, and provide a summary of your findings in a sentence or two. 90

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...
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A large manufacturing company is losing three of its existing plants and intends to
transfer some employees to three plants that will remain open. The number of
employees available for transfer from each closing plant is as follows:
Closing plants
Available employees
1
60
2
105
3
70
Total
235
The following numbers of employees can be accommodated at the three plants
remaining open:
Remaining plants Employees required
A
45
B
90
с
35
Total
170
Each transferred employee will increase the amount of product produced at each
plant, as shown in the following table:
From
To location
location
A
B
с
1
5
8
6
2
10
9
12
3
7
6
8
The company wants to transfer employees to ensure the maximum increase in product
output. Solve this problem using the transportation Simplex method (section 2.1) to
find the maximum increase in product output and the number of employees
transferred between each plant. You must show all working including the intermediate
and final tableaux, and provide a summary of your findings in a sentence or two.
Transcribed Image Text:A large manufacturing company is losing three of its existing plants and intends to transfer some employees to three plants that will remain open. The number of employees available for transfer from each closing plant is as follows: Closing plants Available employees 1 60 2 105 3 70 Total 235 The following numbers of employees can be accommodated at the three plants remaining open: Remaining plants Employees required A 45 B 90 с 35 Total 170 Each transferred employee will increase the amount of product produced at each plant, as shown in the following table: From To location location A B с 1 5 8 6 2 10 9 12 3 7 6 8 The company wants to transfer employees to ensure the maximum increase in product output. Solve this problem using the transportation Simplex method (section 2.1) to find the maximum increase in product output and the number of employees transferred between each plant. You must show all working including the intermediate and final tableaux, and provide a summary of your findings in a sentence or two.
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