Formulate this problem to find the optimal assignment that maximizes the total skill level.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 70P
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A company has three staff members (S1, S2, and S3) available to work on three different
projects (P1, P2, and P3). Each employee has a different skill level for each project, given
in the table below:
Employees
Projects
$1
S2
S3
Pl
10
6
4
P2
8
9
7
P3
5
7
6
The company wants to maximize the total skill level utilized across all projects. Each project requires
exactly one employee, and each employee can work on only one project.
Formulate this problem to find the optimal assignment that maximizes the total skill level.
Transcribed Image Text:A company has three staff members (S1, S2, and S3) available to work on three different projects (P1, P2, and P3). Each employee has a different skill level for each project, given in the table below: Employees Projects $1 S2 S3 Pl 10 6 4 P2 8 9 7 P3 5 7 6 The company wants to maximize the total skill level utilized across all projects. Each project requires exactly one employee, and each employee can work on only one project. Formulate this problem to find the optimal assignment that maximizes the total skill level.
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