Lockport Marine Services, Inc wishes to assign a set of jobs to a set of machines. The following table provides data on the cost of production of each job when performed on a specific machine
(a) Determine the set of assignments that minimizes production cost.
(b) What is the total production cost of your assignments?
Machine
Job A B C D
1 27 29 28 30
2 30 29 27 26
3 31 25 29 26
4 29 31 25 28
(a) The optimal set of assignments is Job 1?Machine A, Job 2?Machine D, Job 3?Machine B, and Job 4?Machine C. (b) The total production cost is 27 + 26 + 25 + 25 = 103.
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