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 C 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.

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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
C
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.
Transcribed Image Text: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 C 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.
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