A manager for an outsourcing company has five jobs that can be performed by any of three contractors, except that contractor #2 cannot perform job #4. The cost for each contractor to perform each job is shown in the table below. Each job must be performed by exactly one contractor, and each contractor may not perform more than two jobs. Formulate a linear programming problem to minimize the cost of the assignments. Contractors \ Jobs | 1 2 3 4 5 8 6 5 7 4 6. 3 2 7 8 5 6 3 123

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
Section: Chapter Questions
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Write Linear program and AMPL code for the problem.

A manager for an outsourcing company has five jobs that can be performed by any of three contractors,
except that contractor #2 cannot perform job #4. The cost for each contractor to perform each job is
shown in the table below. Each job must be performed by exactly one contractor, and each contractor
may not perform more than two jobs. Formulate a linear programming problem to minimize the cost of
the assignments.
Contractors \ Jobs | 1 2 3 4 5
1
8 6
5 7
4
2
6.
5
3
3
7 8
5 6 3
Transcribed Image Text:A manager for an outsourcing company has five jobs that can be performed by any of three contractors, except that contractor #2 cannot perform job #4. The cost for each contractor to perform each job is shown in the table below. Each job must be performed by exactly one contractor, and each contractor may not perform more than two jobs. Formulate a linear programming problem to minimize the cost of the assignments. Contractors \ Jobs | 1 2 3 4 5 1 8 6 5 7 4 2 6. 5 3 3 7 8 5 6 3
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