Problem 7-49 (Algorithmic) 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 250 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 states that at least 15 new pharmacists must be hired. In addition, PharmaPlus's new service quality guidelines specify no more than two technician ger licensed pharmacist. The average salary for licensed pharmacists is $40 per hour and the average salary for technicians is $10 per hour. a. Determine a minimum-cost staffing plan for PharmaPlus. How many pharmacists and technicians are needed? Let P - number of full-time equivalent pharmacists 1 - number of full-time equivalent technicians Pl+ st Max pl Full-time equivalent employees Min P Quality guideline P Number of pharmacists 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 250 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 states 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 $40 per hour and the average salary for technicians is $10 per hour a. Determine a minimum-cost staffing plan for PharmaPlus. How many pharmacists and technicians are needed? Let P - number of full-time equivalent pharmacists T = number of full-time equivalent technicians P+ St. . Pl+ Full-time-equivalent employees Quality guideline Number of pharmacists PI s 2 105 full-time equivalent pharmacists and vs full-time equivalent technicians. The total cost is s 6300 per The optimal solution requires hour