What is the average number of trucks waiting to be unloaded, Operation Management

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What is the average number of trucks waiting to be unloaded

Problem

Trucks arrive at a distribution centre at a rate of 18 per hour following a Poisson distribution. On average a work crew can unload 6 trucks per hour. Crew cost is $400 per hour and the cost to have a truck waiting is $450 per hour. What is the average number of trucks waiting to be unloaded?

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