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A linear programming computer package is needed. 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. Time 11:00 a.m.-Noon Noon-1:00 p.m. 1:00 p.m.-2:00 p.m. 2:00 p.m.-3:00 p.m. 3:00 p.m.-4:00 p.m. 4:00 p.m.-5:00p.m. 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00 p.m. 7:00 p.m-8:00p.m. 8:00 p.m.-9:00 p.m. 9:00 p.m.-10:00 p.m. Number of Employees Needed 9 9 9 3 3 6 12 12 7 7 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. (c) Assume that part-time employees can be assigned either a 3-hour or a 4-hour shift. Develop a minimum-cost schedule for the part-time employees. (Let x, be the same variables from part a. Let y, the number of part-time employees who start work beginning at hour where 1 11:00 a.m., / 2 = Noon, etc). Min s.t. 11:00 a.m. Noon 1:00 p.m. 2:00 p.m. 3:00 p.m.) 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 pm. 8:00 p.m. 9:00 p.m. Find the optimal solution. Yo Y 20