Q$2\mathrm{.}8($Algo$)($Mt$.$ Kinley Consulting$)[2\mathrm{.}3]$

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 $90$ s $,$ but also not suffering from a need to downsize in the recession at the beginning of the $21$ st century. Specifically, there have been$-$and are expected to be$-240$ associates, $75$ managers, and $66$ 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 five 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 $11$ years $($a total of $20$ years with the company$).$

How many new MBA graduates does Mt$.$ Kinley have to hire every year?

Mt$.$ Kinley hire

consultants per year

What are the odds that a new hire at Mt$.$ Kinley will become partner $($as opposed to being dismissed after $4$ years or $11$ years$)?($Do not round intermediate calculations. Round your answer to the nearest whole number.$)$

A new hire has a

$\%$ chance of making it to partner.