Question: (20.00 Puanlar) 1 - A large department store operates 7 days a week. The manager estimates that the minimum number of salespersons required to provide

(20.00 Puanlar) 1 - A large department store

(20.00 Puanlar) 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) 23. number of workers with off-days starting on Wednesday 14: number of workers with off-days starting on Thursday 25: 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) min z = I1 + 12 +13 + 14 + 25 + 16 + 27 21 +22 +23 + 16 + 27 > 18 21 +22 +23 + 24 + 25 > 8 21 +22+ 23 + 24 +25 > 21 11 + x2 + 3 + 26 + 27 > 21 21 + x2 + 23 + 24 + 25 > 18 min z = 8x1 + 10+2 + 1123 + 1624 + 1825 +2126 +2127 f) 8)

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