Determine the optimal assignment schedule in such a manner that the total costs are kept at

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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b) A factory is going to modify of a plant layout to install four new machines M₁, M2, M3 and
M4. There are 5 vacant places J, K, L, M and N available. Because of limited space machine
M₂ cannot be placed at L and M3 cannot be placed at J. The cost of locating machine to place
in Shillings is shown below:
M₁
M₂
M3
M4
J
Kshs '000'
24
28
K
Kshs '000'
18
18
22
16
L
Kshs '000'
22
28
24
M
Kshs '000'
30
20
22
14
N
Kshs '000'
22
18
14
16
Required:
Determine the optimal assignment schedule in such a manner that the total costs are kept at
a minimum.
Transcribed Image Text:b) A factory is going to modify of a plant layout to install four new machines M₁, M2, M3 and M4. There are 5 vacant places J, K, L, M and N available. Because of limited space machine M₂ cannot be placed at L and M3 cannot be placed at J. The cost of locating machine to place in Shillings is shown below: M₁ M₂ M3 M4 J Kshs '000' 24 28 K Kshs '000' 18 18 22 16 L Kshs '000' 22 28 24 M Kshs '000' 30 20 22 14 N Kshs '000' 22 18 14 16 Required: Determine the optimal assignment schedule in such a manner that the total costs are kept at a minimum.
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