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The city roads department repairs 300,000 potholes, on average, in a year. Critics allege that the department is inefficient, given that an average of 60,000 unfilled potholes exist on city roads at any given time (confirmed from official records). The department protests the charge, asserting that they fix a pothole, on average, in less than a month. From the numbers provided above, how long does it take the city, on average, to fix a pothole?

(Hint: Little’s Law: Average Inventory = Average Flow Rate * Average Flow Time)

a. 0.82 month
b. 1.30 months
c. 2.40 months
d. 0.56 months

Answer :

Final answer:

The city, on average, takes 2.4 months to fix a pothole.

Explanation:

To find the average flow time, we can rearrange Little's Law equation as follows:

Average Flow Time = Average Inventory / Average Flow Rate

Substituting the given values:

Average Flow Time = 60,000 / 300,000

Simplifying the equation:

Average Flow Time = 0.2

Therefore, it takes the city, on average, 0.2 years to fix a pothole.

Converting years to months:

1 year = 12 months

Average Flow Time = 0.2 * 12

Average Flow Time = 2.4 months

Learn more about average flow time calculation here:

https://brainly.com/question/32197425

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