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Workforce Scheduling The Operations Manager at the Metropolis National Bank has a staffing problem. Demand for clerical staff varies throughout the day, but 24-hour coverage is necessary because the bank handles a number of international transactions. A recent study has shown how many clerical workers are needed each hour in the course of the day, as shown below. (Hour 1 is from midnight to 1 am.)

Hour

1

2

3

4

5

6

7

8

9

10

11

12

Staff

4

3

2

2

3

5

6

6

9

10

10

10

Hour

13

14

15

16

17

18

19

20

21

22

23

24

Staff

12

12

8

6

7

7

7

6

5

4

4

4

Under current labor policies, clerical workers may be assigned to any one of six shifts, some of which overlap. The shifts and salary costs are as follows.

Shift

Daily Cost

2 am – 10 am

$160

6 am – 2 pm

$145

10 am – 6 pm

$148

2 pm – 10 pm

$154

6 pm – 2 am

$156

10 pm – 6 am

$160

Provide the operations manager with a schedule that will deploy enough staff to meet the hourly requirements at the minimum daily total cost. (Specifically I want to understand how to model the labor policy in the question.)

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