Minimum-cost staffing plan for Pharma Plus

Problem 6-23 (Algorithmic) The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During each of the past 15 years, a polling organization has s
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 105 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 320 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, PharmaPluss new service quality guidelines specify no more than two technicians per licensed pharmacist. The average salary for licensed pharmacists is $45 per hour and the average salary for technicians is $25 per hour.

Determine a minimum-cost staffing plan for PharmaPlus. How many pharmacists and technicians are needed?

LetP

number of full-time equivalent pharmacists

T

number of full-time equivalent technicians

 
fill in the blank 2P

fill in the blank 3T

s.t.

fill in the blank 4P

fill in the blank 5T
 
fill in the blank 7
Full-time-equivalent employees

fill in the blank 8P

fill in the blank 9T
 
fill in the blank 11
Quality guideline

fill in the blank 12P

 
fill in the blank 14
Number of pharmacists

The optimal solution requiresfill in the blank 15full-time equivalent pharmacists andfill in the blank 16full-time equivalent technicians. The total cost is $fill in the blank 17per hour.
Given current staffing levels and expected attrition, how many new hires (if any) must be made to reach the level recommended in part (a)?

New Hires Required

Pharmacists
fill in the blank 18

Technicians
fill in the blank 19

What will be the impact on the payroll?The payroll cost willby $fill in the blank 21per hour.

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