$[-/20$ Points$]$

CAMMIMS$162.$E$.049.$ salary for technicians is $$12$ per hour:

$($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

s$.$t$.$

Employees $($pharmacists and technicians$)$ required

Service quality guideline

Pharmacists employed

$P,T0$

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$)?$

Addifonal Pharmacists to hire

Additional Techniclans to hire

What will be the impact on the payroll?

The payroll cost using the current levels of $85$ pharmacists and $175$ technicians is $ the payroll cost will go by $ per hour. The payroll cost using the optimal solution in part $($a$)$ is $ per hour. Thus,