Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the center. It is open from 8 A. M. until midnight. Larry has monitored the
usage of the center at various times of the day, and determined that
the following number of computer consultants are required:

Two types of computer consultants can be hired: full-time and
part-time. The full-time consultants work for 8 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 $40 per hour.
Part-time consultants can be hired to work any of the four
shifts listed in the above table. Part-time consultants are paid
$30 per hour.
An additional requirement is that during every time period,
there must be at least 2 full-time consultants on duty for every parttime consultant on duty.
Larry would like to determine how many full-time and how
many part-time workers should work each shift to meet the above
requirements at the minimum possible cost.
(a) Formulate a linear programming model for this problem.
C (b) Solve this model by the simplex method.