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QUESTION 5 1. A car wash has 10 available bays; however, the owners find that it

ID: 3296479 • Letter: Q

Question

QUESTION 5

1.      A car wash has 10 available bays; however, the owners find that it is expensive to have too many bays open when utilization is low because there are costs associated with having a bay open, such as electricity for lighting and costs for cleaning. Thus, they would like to have only as many bays open as needed to ensure average customer wait time (in line) of no more than five minutes. (Corporate strategy emphasizes low cost over short wait time). Assuming a single waiting line where customers wait for the first available bay, an average arrival rate of 26 vehicles per hour (assume Poisson arrivals), and an average wash time of 16 minutes per vehicle, how many bays should they have open to meet their objectives?

a.

10

b.

9

c.

8

d.

7

e.

6

a.

10

b.

9

c.

8

d.

7

e.

6

Explanation / Answer

there are on an avg 26 vehicles per hour and it takes 16 min to clean a vehicle on an avg...so in per 16 min how many vehicle sould come on an avg??

it is almost 6 vehicle come on an avg ...as a customer wait time not more than 5 min ... I think we should open 6 bays to meet their objectives...

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