$2.[-/11\mathrm{.}5$ Points$]$ salary for licensed pharmacists is $\backslash (\backslash$$ $40\backslash )$ per hour and the average salary for technicians is $\backslash (\backslash$$ $10\backslash )$ per hour.

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

Mir

s$.$t$.$

Employees $($pharmacists and technicians$)$ required

Service quality guideline

Pharmacists employed

$\backslash ($ P$,$ T $\backslash$geq $0\backslash )$

How many pharmacists and technicians are needed? What is the Optimal Objective Value? at $\backslash (($P$,$ T$)=(\backslash$quad$)\backslash )$

$($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 $\backslash (\backslash$$$[\backslash )$

$|$ per hour. The payroll cost using the optimal solution in part $($a$)$ is $\backslash$$ $[]$ per hour. Thus, the payroll cost will go $---$Select$---\backslash (\backslash$vee $\backslash )$ by $\backslash (\backslash$$$[\backslash )].$

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