Question: Explicitly state the following:

1. Decision Variables: Express the decision variable in mathematical notation, and state what each decision variable stands for in words.
2. Constraints: Write each constraint in mathematical notation, and state what it stands for in words.
3. Objective function: Write the objective in mathematical notation, and state what it stands for in words.
4. Following steps (1) – (3), write the entire model as a linear programming (LP) formulation.
5. Solve the LP using GAMS, and determine the optimal values of: decision variables, objective function, and constraints.

Larry Edison is the director of the Computer Center at Buckley College. He now needs to schedule the staffing of the center. The center is open from 8:00 a.m. until midnight. Based on previous usage of the center, Larry has determined that the following number of computer consultants are required to monitor the center at various times of the day:

Two types of computer consultants can be hired: full-time and part-time. Full-time consultants work for 8 consecutive hours in any of the following shifts: morning (8:00 a.m. – 4:00 p.m.), afternoon (Noon – 8:00 p.m.), or evening (4:00 p.m. – Midnight), and are paid $14/hour. Part-time consultants can be hires to work in any of the four-hour shifts listed in the above table, and they are paid $12/hour. An additional requirement is that there must be at least 2 full-time consultants on duty for every part-time consultant on duty. Determine the number of full-time and part-time consultants that must work each shift to meet the above demand at a minimum cost.

Price: $2.99

Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document