A large CPA firm currently has 100 junior staffmembers and 20 partners. In the long run—say,20 years from now—the firm would like to consistof 130 junior staff members and 20 partners. During a given year, 10% of all partners and 30% ofall junior staff members leave the firm. The firmcan control the number of hires each year and thefraction of junior employees who are promoted topartner each year. Can you develop a personnelstrategy that would meet the CPA firm’s goals?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 81P: You want to take out a 450,000 loan on a 20-year mortgage with end-of-month payments. The annual...
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A large CPA firm currently has 100 junior staff
members and 20 partners. In the long run—say,
20 years from now—the firm would like to consist
of 130 junior staff members and 20 partners. During a given year, 10% of all partners and 30% of
all junior staff members leave the firm. The firm
can control the number of hires each year and the
fraction of junior employees who are promoted to
partner each year. Can you develop a personnel
strategy that would meet the CPA firm’s goals?

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