The foreman of a machine shop wants to determine a minimum-cost matching for operators and ma- chines. He has data on hourly cost (in 7) for each of the operators for four machines as shown here: Machine Operator A B C D 1 78 88 83 72 63 60 66 62 3 66 64 72 76 4 70 68 75 78 (i) Determine the minimum-cost assignment for this problem. What is the total cost? (ii) Is there an alternate solution to this minimum-cost assignment? Calculate the total cost for the alternate assignment, if there is any. (iii) Formulate this problem as a linear programming problem.

The foreman of a machine shop wants to determine a minimum-cost matching for operators and ma- chines. He has data on hourly cost (in 7) for each of the operators for four machines as shown here: Machine Operator A B C D 1 78 88 83 72 63 60 66 62 3 66 64 72 76 4 70 68 75 78 (i) Determine the minimum-cost assignment for this problem. What is the total cost? (ii) Is there an alternate solution to this minimum-cost assignment? Calculate the total cost for the alternate assignment, if there is any. (iii) Formulate this problem as a linear programming problem.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

11. The foreman of a machine shop wants to determine a minimum-cost matching for operators and ma-
chines. He has data on hourly cost (in ?) for each of the operators for four machines as shown here:
Machine
Operator
B
D
1
78
88
83
72
2
63
60
66
62
66
64
72
76
70
68
75
78
(i) Determine the minimum-cost assignment for this problem. What is the total cost?
(ii) Is there an alternate solution to this minimum-cost assignment? Calculate the total cost for the
alternate assignment, if there is any.
(iii) Formulate this problem as a linear programming problem.
3 4

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i. What is the total cost?
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