Need Help Linear Programming
Western Family Steakhouse offers a variety of low cost meals and quick service. Other than management, the Steakhouse operates with full time employees work 8 hrs/ day. The rest of employees are part time employees who are scheduled for 4 hrs shifts during peak meal times. On the Saturdays theSteakhous is open from 11:00AM to10:00PM management want to develop a schedule for part time employees that will minimize labor cost and provide excellent customer service. The average wage rate for the part time employees is $7.60/ hr. The total number of full time and part-time employees needed varies with time of a day as shown.
Time Total number of employees needed 11:00AM-noon 9 Noon- 1:00PM 9 1:00PM-2:00PM 9 2:00PM-3:00PM 3 3:00PM-4:00PM 3 4:00PM-5:00PM 3 5:00PM-6:00PM 6 6:00PM-7:00PM 12 7:00PM-8:00PM 12 8:00PM-9:00PM 7 9:00PM-10:00PM 7 One full time employee comes on duty at 11:00 AM works 4 hrs, take one hr. off , and return to an other 4 hrs. The other employees comes to work at 1:00PM work same 4hrs. and take one hr. off, 4 hours- on pattern.
- Develop a minimum cost schedule for part time employees?
- What is total payroll for the part time employees? How many part time shifts are needed? (Use the surplus variables to comment on the desirability of scheduling at least some of the part time employees for 3 hrs shifts.)
- Assume hat part-time employees can be assigned either 3hrs or 4 hrs shifts. Develop a minimum cost schedule for the part time employees. How many part time shifts are needed and what is the cost saving compared to the previous schedule?