Question

# A car wash has 10 available bays; however, the owners find that it is expensive to...

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

In a short time 1 vehicle will be washed .

On the off chance that a client will go through most extreme 5 minutes in pausing, it will take 21 minutes as stream time in an hour

i.e.,

= 60/21

= 2.85 vehicle will be washed.

26 vehicles show up in an hour so shortly i.e., 16 minutes

i.e.,

= 26/60*16

= 0.433*16

= 6.933 vehicle will be reached.

Number of coves to be opened = 26/2.85

= 6.933

= 9 inlets or bays ought to be opened with the goal that client won't sit tight for over 5 minutes.

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