Question: 1. A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is

1. A large department store operates 7 days a

1. A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide prompt service is 8 for Monday, 10 for Tuesday, 11 for Wednesday, 16 for Thursday, 18 for Friday, and 21 for each of Saturday and Sunday. Each salesperson works 5 days a week, with two off-days staggered throughout the week. Let the decision variables be: 11: number of workers with off-days starting on Monday (Monday & Tuesday off; working on Wednesday, Thursday, Friday, Saturday and Sunday) 12: number of workers with off-days starting on Tuesday (Tuesday & Wednesday off) 13: number of workers with off-days starting on Wednesday 14: number of workers with off-days starting on Thursday #5: number of workers with off-days starting on Friday 16: number of workers with off-days starting on Saturday 27: number of workers with off-days starting on Sunday (Sunday & Monday off) Formulate an LP to determine the minimum number of salespersons that should be hired, and check all that should are part of the LP: a) b) c) min 2 = 841 + 10+2 + 1113 + 16+4 + 1815 + 2106 + 2147 *1 + 2 + 3 + 46+ 47 > 18 21 + 2 + + + 44 +45 > 8 *1 + + + + + *4 + 05 > 18 *1 + 2 + 3 + 46+ 47 > 21 min 2 = $1 + 12 + +3 +44 +45 + 46+ 47 21 + 12 +43 +44 +45 > 21 e) f) ho

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