Question

Larry Edison is the director of the Buckly College computer center, where he must schedule the work hours of the center's staff. The center opens from 8 a.m. until midnight. Larry studied the use of the center at different times of the day and determined the following numbers of necessary computer consultants:

Horario	# mínimo de asesores requeridos
8:00 to 12:00	4
12:00 to 16:00	8
16:00 to 20:00	10
20:00 to 0:00	6

You can hire two types of advisers: full-time and part-time. The former work 8 consecutive hours in any of the following shifts: morning (8 a.m. - 4 p.m.), afternoon (12 p.m. - 8 p.m.) and night (4 p.m. - 12 a.m.). These advisers earn $ 40 an hour. Part-time consultants can work any of the four shifts listed in the table above and earn $ 30 an hour. An additional requirement is that there must be at least two full-time consultants for each part-time during all hours. Larry wants to determine how many full-time and how many part-time consultants there must be on each shift to qualify at minimum cost.
a) (10 points) Clearly define the decision variables.
b) (15 points) Using the decision variables defined in the previous paragraph, formulate, without solving, a
Linear programming problem that Larry can use to meet staffing requirements at minimal cost.

Answer 1