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Math Logic Question

Dear all, 

I really struggle how to calculate that we actually need 600 employees for A and B. Basically, 

if our current call center runs at 75% utiization rate and we need 400 employees to have 36K calls a year, can we basically say that now our utilization rate was higher before by 50% hence, but going down from 75 to 50 is (50-75)/75 a reduction of 30 percent and hence we need 30 percent more employees. not 50%...Kinda confused

Thanks a lot!!!

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Top answer
on Oct 29, 2018
Ex-MBB, Experienced Hire; I will teach you not only the how, but also the why of case interviews

We don't have the actual question, but I'll point out that 400 x 75 / 50 = 600. Could that help?

Deleted user
Coach
on Oct 30, 2018

Following up on Guennael: 

The logic comes (I believe) because you are looking for the same geometric mean (# of agents at 100% utilization), not an arithmetic mean. 

75% util. * 400 agents = 300 agents talking non-stop  

300 agents talking non-stop / 50% util. = 600 agents

Cheers

Elias

1
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