### 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 (a 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.**Question:** How many pharmacists and technicians are needed?Additionally, there is no graph or diagram present in this text to describe. ### Determine a Minimum-Cost Staffing Plan for PharmaPlus#### Objective:To calculate the number of pharmacists and technicians needed for PharmaPlus to operate optimally at minimum cost.#### Definitions:- Let $ P $ = number of full-time equivalent pharmacists- Let $ T $ = number of full-time equivalent technicians#### Constraints and Equations:The following constraints are provided, represented by a table with variable $ P $ for pharmacists and $ T $ for technicians.| Constraints | Equations | Conditions ||--------------------|------------------|--------------------------------------|| | $ P + \space T $ = [ ] | Full-time equivalent employees || s.t. | $ P + \space T $ ≥ [ ] | Quality guideline || | $ P + \space T $ ≤ [ ] | || | $ P + \space T $ = [ ] | Number of pharmacists |#### Optimal Solution:The optimal staffing solution requires:- [ ] full-time equivalent pharmacists- [ ] full-time equivalent technicians**Total Cost:** - The total cost is $[ ] per hour.#### Additional Staffing and Impact on Payroll:To adjust the current staffing levels and account for expected attrition, determine how many new hires are needed to meet the recommended levels.##### New Hires Required:| | New Hires Required ||-----------|---------------------|| Pharmacists | [ ] || Technicians | [ ] |**Impact on Payroll:**- What will be the impact on the payroll?- The payroll cost will [ ] by $[ ] per hour.This layout helps in understanding the proper calculation and staffing management needed for PharmaPlus to achieve its operational goals effectively and efficiently.

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Answered: a. Determine minimum-cost staffing plan…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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