Question

A small barber shop has a single chair and an area for waiting, where only one person can be in the chair at a time, and no one leaves without getting their hair cut. So the system is roughly: Entrance + Wait → Haircut → Exit Assume customers arrive at the rate of 6 per hour and stay an average of 0.5 hour. What is the average number of customers in the barber shop? (Round your answer to 1 decimal place.) Average number of customers

Answer 1

To find the average number of customers in the barber shop, we can use Little's Law. Using the given arrival rate and average time spent in the system, we can calculate that the average number of customers is 3.

Step-by-step explanation:

To find the average number of customers in the barber shop, we need to consider the rate at which customers arrive and how long they stay.

Given that customers arrive at a rate of 6 per hour and stay for an average of 0.5 hour, we can calculate the average number of customers using Little's Law. Little's Law states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system. In this case, the average number of customers is 6 * 0.5 = 3. Therefore, the average number of customers in the barber shop is 3.