Question: Campbells restaurant operates 7 days a week. Waiters are hired to work 6 hours per day. The union contract specifies that each must work 5

Campbell’s restaurant operates 7 days a week. Waiters are hired to work 6 hours per day. The union contract specifies that each must work 5 consecutive days and then have 2 consecutive days off. All waiters receive the same weekly salary. Staffing requirements are shown in the following table.

Assume that this cycle of requirements repeats indefinitely, and ignore the fact that the number of waiters hired must be an integer (why?).

The manager wishes to draw up a schedule that satisfies these requirements at a minimum cost. Formulate and solve this as a linear model.

DayMinimum Number of Waiter Hours Required
Monday150
Tuesday200
Wednesday400
Thursday300
Friday700
Saturday800
Sunday300

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