$3\mathrm{.}4-11.$ Larry Edison is the director of the Computer Center forTwo types of computer consultants can be hired: full$-$time and

part$-$time. The full$-$time consultants work for $8$ consecutive bours

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 part$-$

time 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.

Buckly College. He now needs to schedule the staffing of the cen$-$

ter. 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: