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Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work
Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse 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-hour shifts during peak meal times. On Saturdays the steakhouse is open from 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 customer 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 the time of day as shown. Total Number Time of Employees Needed 11:00 A.M.-Noon Noon-1:00 P.M. 1:00 ..-2:00 .. 2:00 ..-3:00 .. 3:00 ..-4:00 .. 4:00 ..-5:00 .. 5:00 ..-6:00 .. 6:00 ..-7:00 .. 7:00 ..-8:00.. 8:00 ..-9:00 .. 9:00 ..-10:00 .. 9. 9. 9. 3. 3. 3. 6. 12 12 One full-time employee comes on duty at 11:00 A.M., works 4 hours, takes an hour off, and returns for another 4 hours. The other full-time employee comes to work at 1:00 P.M. and works the same 4-hours-on, 1-hour-off, 4-hours-on pattern. a. Develop a minimum-cost schedule for part-time employees. B) Define the decision variables C) Define the objective function D) Define the constraints E) Determine an optimal solution
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