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. Each salesperson works 5 days a week, with the two consecutive  off-days staggered throughout the week. For example, if 10 salespersons start on Monday,  2 can take their off-days on Tuesday 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?

Practical Management Science
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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. Each salesperson works 5 days a week, with the two consecutive 
off-days staggered throughout the week. For example, if 10 salespersons start on Monday, 
2 can take their off-days on Tuesday 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?

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