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

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: 21: 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 15: number of workers with off-days starting on Friday 26: 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 d OO x1 + x2 + x3 +34 + 25 > 8 21 +22+13 + 24 + 25 > 18 min z = 821 + 10.22 + 1123 + 1624 + 18.25 +2126 +2127 21 +22 +23 + 24 + Is > 21 min z = X1 + 12 +13 + 24 + 25 + 16 +27 11 + x2 + x3 + 26 +27 > 18 21 +22+33 +236 +27 > 21 e) f) 60

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