A hardware store rents its one wood chipper. A request for the chipper arrives e

Question

A hardware store rents its one wood chipper. A request for the chipper arrives every 4 days with a standard deviation of 4 days. On average clients rent the chipper for one day. If a request arrives and the chipper is not available, customers rent from another company.

What percentage of demand is lost?

A. .30

B. .20

C. .25

D. .15

How many wood chippers are rented per day? (What is the flow rate?)

A. .2 rentals/day

B. .3 rentals/day

C. .8 rentals/day

D. .6 rentals/day

What is the utilization of the wood chipper?

A. 15%

B. 60%

C. 30%

D. 20%

Explanation / Answer

The exigency bottle be unsaid as a typical allocation with signify 4 and normal deviation of 4.

Demand is perplexed if the plead comes in minus than 1 day, since the cheerful remnants engaged for 1 day after a requirement appears.

Probability that request < 1 = P (X<1) = P (Z < (1-4)/4) = P (Z<-0.75) = 0.22663 (Using a normal average table).

So we bottle conclude that about 22.66 % inquire is lost.

On an average, the in good spirits is old for 1 day in every 4 days. consequently the utilisation charge = 1/4 = 0.25,or 25%

Please appraise if happy with the answer.

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