# The famous y. s. chang restaurant is open 24 hours a day. waiters and

The famous Y. S. Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3am, 7am, 11am, 3pm, 7pm, or 11pm, and each works an 8-hour shift. The following table shows the minimum number of workers needed during the six periods into which the day is divided. Chang’s scheduling problem is to determine how many waiters and busboys should report for work at the start of each time period to minimize the total staff required for one day’s operation. (Hint: Let Xi equal the number of waiters and busboys beginning work in time period i, where i = 1, 2, 3, 4, 5, 6.) If Chang’s were able to reduce the number of required waiters and busboys by 1 during some period, during which period should they make the reduction?

Period

Time

Number of Waiters and Busboys Required

1

3am-7am

3

2

7am-11am

12

3

11am-3pm

17

4

3pm-7pm

11

5

7pm-11pm

12

6

11pm-3am

4

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