$($a$)$ Determine a minimum$-$cost staffing plan for PharmaPlus. $($Let $P$ be the number of full$-$time equivalent pharmacists. Let $T$ be the number of full$-$time equivalent technicians.$)$

Min $44P+11T$

$s.t.$

Employees $($pharmacists and technicians$)$ required

Service quality guideline

Pharmacists employed

$P90$

$P,T0$

How many pharmacists and technicians are needed? What is the Optimal Objective Value?

$$,at(P,T)=(,)$

$($b$)$ Given current staffing levels and expected attrition, how many new hires $($if any$)$ must be made to reach the level recommended in part $($a$)?$

Additional Pharmacists to hire

Additional Technicians to hire

What will be the impact on the payroll?

The payroll cost using the current levels of $85$ pharmacists and $175$ technicians is $

per hour. Thus,

the payroll cost will go

by $

per hour. The payroll cost using the optimal solution in part $($a$)$ is $

per hour. Thus,