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Math Logic Question

Anonymous A asked on Oct 29, 2018

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!!!

case interview exhibit

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Guennael replied on Oct 29, 2018
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We don't have the actual question, but I'll point out that 400 x 75 / 50 = 600. Could that help?

Elias
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replied on Oct 30, 2018
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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

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