Question: A supermarket would like to prepare a schedule for its cashiers to serve the customers. The working policy of the supermarket is that the cashiers

A supermarket would like to prepare a schedule for its cashiers to serve the customers. The working policy of the supermarket is that the cashiers are full-time employees and must work any five consecutive days per week and off two consecutive days per week from Monday to Sunday. The cashiers working hour per day is 8 hours. The supermarket has analysed each customer requires on average 5 minutes. Based on the historical data, the required average number of cashiers to serve the customers is shown in Table 1.

Table 1

Day

Mon

Tue

Wed

Thurs

Fri

Sat Sun

Total

No of the required cashiers

6

7

5

5

7

8 9

47

  1. Determine the minimum number of cashiers required to serve the customers. (2 Marks)

  1. Use the work-shift-heuristic procedure to develop a weekly work-shift schedule for the cashiers. (9 Marks)

  1. How many cashiers work shifts ol slack per week are present in the proposed schedule? How could this slack be avoided? Is the schedule optimal? (4 Marks)

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