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andreyandreev
10 days ago
14

Consulting life (10 points) Mt. Kinley is a strategy consulting firm that divides its consultants into three classes: associates

, managers, and partners. The firm has been stable in size for the last 20 years, ignoring growth opportunities in the 90s, but also not suffering from a need to downsize in the recession at the beginning of the 21st century. Specifically, there have been -- and are expected to be -- 200 associates, 60 managers, and 20 partners. The work environment at Mt. Kinley is rather competitive. After four years of working as an associate, a consultant goes ``either up or out''; that is, becomes a manager or is dismissed from the company. Similarly, after six years a manager either becomes a partner or is dismissed. The company recruits MBAs as associate consultants; no hires are made at the manager or partner level. A partner stays with the company for another 10 years (a total of 20 years with the company).a. How many new MBA graduates does Mt. Kinley have to hire every year? b. What are the odds that a new hire at Mt. Kinley will become partner (as opposed to being dismissed after 4 years or 10 years).
Business
1 answer:
soldi70 [3.1K]10 days ago
3 0

Answer:

A. 50

B. 4%

Explanation:

To determine the number of new MBA graduates that Mt. Kinley must recruit annually, we calculate the flow rate of associates by dividing the average number of associates by the flow time for associates.

Requirement A:

Flow rate of associates = Average inventory of associates / Flow time of associates

Flow rate of associates = 200/4

Flow rate of associates = 50

Thus, the company needs to hire 50 new MBAs each year.

Requirement B

The likelihood of an associate advancing to partner is 20% x 20%

This results in a probability of 4% for an associate to become a partner

Therefore, the probability that a new employee at Mt. Kinley will be promoted to partner stands at 4%

Working

The manager flow rate equals the average inventory of managers divided by their flow time

The flow rate of managers = 60/6

The flow rate for managers totals 10 per year

For partners, the flow rate is calculated as the average inventory of partners divided by their flow time

The flow rate of partners = 20/10

This results in 2 partners per year

The probability of an associate becoming a manager is given by 10/50

yielding a probability of 20%

The chances of progressing to partner stands at 2/10

indicating a 20% chance of becoming a partner

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