Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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1. The Marvel Shop has just received five new repair projects that must be repaired quickly, i.e.,
project 1, project 2, project 3, project 4, and project 5. Five workers namely Andy, Brad, Christian,
Devon, and Evan with different talents will be able to do the job. Andy, Brad, Christian, Devon, and
Evan can be assigned to any of these projects. It is known that every project will comprise only one
worker. Also, one worker will work in only one project and will not change the project after
assignment. The wages charged by the workers in different projects are given below in the following
table
Projects
Workers
Project 1
Project 2
Project 3
Project 4
Project
5
Andy
$10
$5
$13
$15
$16
Brad
$3
$9
$18
$13
$6
Christian
$10
$7
S2
$2
$2
Devon
$7
$11
$9
$7
$12
Evan
$7
$9
$10
$4
$12
Now, Marvel Shop wants to complete all of these projects at minimum cost. Based on the information
given above, answer the following questions. Also, clearly write down each of the steps.
a) Using the Hungarian method, determine the optimal assignment of the workers that will
minimize the cost (Use manual process)
b) What is the minimum cost incurred by Marvel Shop as per Hungarian method?
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Transcribed Image Text:1. The Marvel Shop has just received five new repair projects that must be repaired quickly, i.e., project 1, project 2, project 3, project 4, and project 5. Five workers namely Andy, Brad, Christian, Devon, and Evan with different talents will be able to do the job. Andy, Brad, Christian, Devon, and Evan can be assigned to any of these projects. It is known that every project will comprise only one worker. Also, one worker will work in only one project and will not change the project after assignment. The wages charged by the workers in different projects are given below in the following table Projects Workers Project 1 Project 2 Project 3 Project 4 Project 5 Andy $10 $5 $13 $15 $16 Brad $3 $9 $18 $13 $6 Christian $10 $7 S2 $2 $2 Devon $7 $11 $9 $7 $12 Evan $7 $9 $10 $4 $12 Now, Marvel Shop wants to complete all of these projects at minimum cost. Based on the information given above, answer the following questions. Also, clearly write down each of the steps. a) Using the Hungarian method, determine the optimal assignment of the workers that will minimize the cost (Use manual process) b) What is the minimum cost incurred by Marvel Shop as per Hungarian method?
Expert Solution
Check Mark
Step 1

One method to solve the assignment problems algorithmically is the Hungarian method. This method solves the problem by combinatorial optimization in polynomial time. 

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