Points$]$

CAM$$IMS$162.$E$.049.$

Pharmaplus operates a chain of $30$ pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs $85$ full$-$tim $($combination of full time and part time$)$ and $175$ full$-$time equivalent technicians. Each spring management reviews current staffing levels and makes hiring plans for the y prescription load for the next year shows that at least $265$ full$-$time equivalent employees $($pharmacists and technicians$)$ will be required to staff the pharmacies. The pers pharmacists and $30$ technicians to leave over the next year. To accommodate the expected attrition and prepare for future growth, management stated that at least $15$ ne addition, Pharmaplus's new service quality guidelines specify no more than two technicians per licensed pharmacist. The average salary for licensed pharmacists is $$44$ p for technicians is $$11$ 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 tech 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?

$($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