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Use this information to answer the following questions.
Cars arrive at Speedy Lube at an average rate of 4 per hour.Arrivals can be assumed to follow the Poisson distribution.The sole mechanic who works at Speedy Lube spends an average of 12 minutes changing each car's oil and filter.The standard deviation of service time is 2 minutes and service time distribution is arbitrary.
-Refer to the information above.Assume that Speedy Lube has been acquired by a new owner who is planning an advertisement campaign that claims that each car would spend an average of 20 minutes in the shop inclusive of waiting time and service time.What should the mechanic's service rate be so as not to accuse the new owner of False advertising? Hint: Use Excel's Goal Seek function.


Definitions:

Province

A principal administrative division of certain countries or territories.

Good

A material item or service that can be bought, sold, or traded to satisfy a want or need.

Opportunity Cost

The value of the next best alternative forgone as the result of making a decision.

Optimum

The most favorable condition or level at which the best possible outcome or maximum efficiency is achieved.

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