You are the Director of the Computer Center for Gaillard College and responsible for scheduling the staffing of the center, which is open from 8 a.m. until midnight. You have monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required:
________________________________ Minimum Number of Consultants Required
Time of Day __________________________________ To Be on Duty
8 a.m. - noon ................................................................ 4
Noon - 4 p.m. ............................................................... 8
4 p.m. - 8 p.m. ............................................................ 10
8 p.m. - midnight .......................................................... 6
Two types of computer consultants can be hired: full-time and part-time. The full-time consultants work for eight consecutive hours in any of the following shifts: morning (8 a.m. - 4 p.m.), afternoon (noon - 8 p.m.), and evening (4 p.m. - midnight).
Full-time consultants are paid $14 per hour.
Part-time consultants can be hired to work any of the four shifts listed in the table. Part-time consultants are paid $12 per hour. An additional requirement is that during every time period, there must be at least one full-time consultant on duty for every part-time consultant on duty.
a. Determine a minimum-cost staffing plan for the center. How many full-time consultants and part-time consultants will be needed? What is the minimum cost?
b. After thinking about this problem for a while, you have decided to recognize meal breaks explicitly in the scheduling of full-time consultants. In particular, full-time consultants are entitled to a one-hour lunch break during their eight-hour shift. In addition, employment rules specify that the lunch break can start after three hours of work or after four hours of work, but those are the only alternatives. Part-time consultants do not receive a meal break. Under these conditions, what staffing schedule minimizes costs? What is the minimum cost?