### Cost scheduling

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A restaurant operates with two full-time employees who work 8 hours per day. The rest of the employees are part-time employees who are scheduled for 4 hours shifts. On Saturdays the restaurant is open 11:00 A.M. to 10:00 P.M. Management wants to develop a schedule for part-time employees that will minimize labor costs and still provide excellent service. The average wage rate for the part-time employees is 7.60 per hour. The total number of full-time and part-time employees needed varies with time of day as shown.

Time Total Number of employees Needed

11:00 A.M.- Noon 9

Noon - 1:00 P.M. 9

1:00 P.M. - 2:00 P.M. 9

2:00 P.M. - 3:00 P.M. 3

3:00 P.M - 4:00 P.M. 3

4:00 P.M. -5:00 P.M. 3

5:00 P.M.- 6:00 P.M. 6

6:00 P.M.- 7:00 P.M. 12

7:00 P.M.- 8:00 P.M. 12

8:00 P.M.- 9:00 P.M. 7

9:00 P.M.- 10:00 P.M. 7

One full time employee comes on duty at 11:00 A.M., work 4 hours, takes an hour off, and returns do another 4 hours. The other full-time employee comes to work at 1:00 P.M. and works the same 4 hours-on, 1 hours-off, 4 hours-on pattern.

(a) Develop a minimum-cost schedule for part-time employees.
(b) What is the total payroll for the part-time employees?

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