Staff Scheduling

You are the Director of the Computer Center at Bucky college and responsible for scheduling the staffing of the center, which is open from 8 a.m. until midnight.You can utilize full-time and part-time consultants.You have monitored the usage of the center at various times of the day and determined that the following number of computer consultants is required.

Time of Day

Minimum number of Consultants required 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 consults 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 list in the table.Part-time consultants are paid $12 per hour.And 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.

Management would like to know:

1. The minimum-cost staffing plan for the center.How many full-time consultants and part-time consultants will be needed?What is the minimum cost?