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Five different machines can do any of the five required jobs, and the profits resulting from each assignment are given below. Jobs 1 2 3 4 5 Machines B C D E 37 40 28 40 24 27 21 36 33 30 35 40 36 36 39 A 30 40 40 32 25 38 29 62 41 34 Find the maximum profit possible through optimal assignment.

Five different machines can do any of the five required jobs, and the profits resulting from each assignment are given below. Jobs 1 2 3 4 5 Machines B C D E 37 40 28 40 24 27 21 36 33 30 35 40 36 36 39 A 30 40 40 32 25 38 29 62 41 34 Find the maximum profit possible through optimal assignment.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question 1 Five different machines can do any of the five required jobs, and the profits resulting from each assignment are given below. Jobs 1 2 3 4 5 Machines A B C D E 30 37 40 28 40 40 24 27 21 36 40 32 33 30 35 25 38 40 36 36 34 39 29 62 41 Find the maximum profit possible through optimal assignment. Hint: Note that this a maximization problem. To convert it into minimization problem and apply Hungarian method, subtract all the elements of the profit matrix from its highest element. Use the optimal assignments to calculate the maximum profit.
Transcribed Image Text:Question 1 Five different machines can do any of the five required jobs, and the profits resulting from each assignment are given below. Jobs 1 2 3 4 5 Machines A B C D E 30 37 40 28 40 40 24 27 21 36 40 32 33 30 35 25 38 40 36 36 34 39 29 62 41 Find the maximum profit possible through optimal assignment. Hint: Note that this a maximization problem. To convert it into minimization problem and apply Hungarian method, subtract all the elements of the profit matrix from its highest element. Use the optimal assignments to calculate the maximum profit.
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