1. Golden Muffler Shop is able to install mufflers at an average rate of 10 per hour. Customers arrive at the shop every 10 minutes, following a Poisson distribution.
a. What is the mean number in service?
b. What is the probability that a person will wait in line?
c. What is the mean number of customers in the system?
d. What is the mean number of customers waiting in the line?
e. How long will it take a person to complete a service from arrival?
f. On average, what percentage of the time a person will wait in line?
g. Let's say the hourly cost of service was $7.00 per server, and the hour cost of waiting is $10. What is the total hourly cost?
h. Let's say the customers will balk if there is more than 2 people waiting in line. What is the number of customers lost due to line length? (Simulate for 100 customers)
i. Let's say the customer will renege if they have to wait more than 0.25 hours. What is the number of customers lost due to waiting? (Simulate for 100 customers)