PharmaPlus operates a chain of $30$ pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs $85$ full$-$time equivalent pharmacists $($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 year. A recent forecast of the prescription load for the next year shows that at least $267$ full$-$time equivalent employees $($pharmacists and technicians$)$ will be required to staff the pharmacies. The personnel department expects $10$ 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 $15$ new pharmacists must be hired. In addition, PharmaPlus's new service quality guidelines specify no more than two technicians per licensed pharmacist. The average salary for licensed pharmacists is $$44$ per hour and the average salary for technicians is $$11$ per hour.