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A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is 12 for Monday, 18 for Tuesday, 20 for Wednesday, 28 for Thursday, 32 for Friday, and 40 for each of Saturday and Sunday. Fach salesperson works 5 days a wcek, with the two consccutive off-days staggered throughout the week. For example, if 10 salespersons start on Monday, 2 can take their off-days on Tucsday and Wednesday, 5 on Wednesday and Thursday, and 3 on Saturday and Sunday. How many salespersons should be contracted, and how should their off-days be allocated? Use AMPL, Solver, or TORA to find the solution.

A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is 12 for Monday, 18 for Tuesday, 20 for Wednesday, 28 for Thursday, 32 for Friday, and 40 for each of Saturday and Sunday. Fach salesperson works 5 days a wcek, with the two consccutive off-days staggered throughout the week. For example, if 10 salespersons start on Monday, 2 can take their off-days on Tucsday and Wednesday, 5 on Wednesday and Thursday, and 3 on Saturday and Sunday. How many salespersons should be contracted, and how should their off-days be allocated? Use AMPL, Solver, or TORA to find the solution.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section: Chapter Questions
Problem 29P
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A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is 12 for Monday, 18 for Tuesday, 20 for Wednesday, 28 for Thursday, 32 for Friday, and 40 for each of Saturday and Sunday. Fach salesperson works 5 days a wcek, with the two consccutive off-days staggered throughout the week. For example, if 10 salespersons start on Monday, 2 can take their off-days on Tucsday and Wednesday, 5 on Wednesday and Thursday, and 3 on Saturday and Sunday. How many salespersons should be contracted, and how should their off-days be allocated? Use AMPL, Solver, or TORA to find the solution.
Transcribed Image Text:A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is 12 for Monday, 18 for Tuesday, 20 for Wednesday, 28 for Thursday, 32 for Friday, and 40 for each of Saturday and Sunday. Fach salesperson works 5 days a wcek, with the two consccutive off-days staggered throughout the week. For example, if 10 salespersons start on Monday, 2 can take their off-days on Tucsday and Wednesday, 5 on Wednesday and Thursday, and 3 on Saturday and Sunday. How many salespersons should be contracted, and how should their off-days be allocated? Use AMPL, Solver, or TORA to find the solution.
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