# Quantitative Analysis for Management (10th ed.)

From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned in this example of a single-channel waiting line.

Assuming Poisson arrivals and exponential service times, find the

(a) average number of cars inline.

(b) average time a car waits before it is washed.

(c) average time a car spends in the service system.

(d) utilization rate of the car wash.

(e) probability that no cars are in the system.

https://brainmass.com/statistics/probability/quantitative-analysis-management-285013

#### Solution Preview

The detailed step by step solutions with all the working explaining how the answers are arrived at are given in the attached file. Please download the attached file. Thank you

Quantitative Analysis for Management

From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned ...

#### Solution Summary

Quantitative analysis for management is examined.