Answer Happy

Wichita's famous Sethi Restaurant is open 24 hours a day Servers report for duty at 3AM, 7AM.. 11AM, 3 PM, 7PM, or 11 PM, and each works an 8-hour shift. The following table shows the minimum number of workers needed during the 6 periods into which the day is divided Decision vairable. X-number of workers reporting for the start of working period, where i Period Objective function Minimize Z Subject to: X₁ + X₂+ X₂+ X₂+ 214 215 210 12 2 ▼26 24 4 5 6 1.2, 3, 4, 5, or 6 Time 3AM 7AM 7AM 11AM 11 AM-3PM Owner Avanti Sethi's scheduling problem is to determine how many servers should report for work at the start of each time period in order to minimize the total staff required for one day's operation (Hint Let X, equal the number of servers beginning work in time period, where / 1, 2,3,4,5,6) 3PM 7PM. 7 PM 11 PM 11 PM-3AM (7AM-11 AM) (11 AM-3PM) (3PM-7PM) (7 PM-11 PM) (11 PM -3AM) (3AM-7AM) Number of Servers Required 4 X₂+ X₂+ For all X, 20 The optimal solution results in total workers (enter your response as a whole number) 14 15 10 12 5
Objective function: Minimize 2 Subject to: X₁ + X₂ + X₂ + X4+ X5 + xx X₁ + For a The optimal solution resu 2-32 E 214 215 10 212 ▼25 24 X₂ Xs X₁ X₂ X6 (7AM-11 AM) (11 AM -3PM) (3PM-7PM) (7 PM-11 PM) (11 P.M.-3AM) (3AM-7AM) ers (enter your response as a whole number). .
Objective function: Minimize Z= Subject to: X₁ + X2 + X3 + X4 + X5 + X6 4 X₁ + 14 X₂ + 15 X3 + 10 X4 + 12 X5 + 5 X6 24 X6 + For all X, 20