Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls to the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. g What is the probability that there is exactly 2 customers in the system? h) What is the probability that there are more than 3 customers in the system? Skyline is considering adding a second clerk to take calls. The store would pay that person the same $20 per hour. Using appropriate formula for the multiple channel model, answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service (Lq)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%

Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone
number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls
to the restaurant are answered automatically by an answering machine and asked to wait. As soon
as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The
clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order.

g What is the probability that there is exactly 2 customers in the system?
h) What is the probability that there are more than 3 customers in the system?

Skyline is considering adding a second clerk to take calls. The store would pay that person the
same $20 per hour.
Using appropriate formula for the multiple channel model, answer the following questions: 

a. What is the probability that no customers are in the system (Po)? 
b. What is the average number of customers waiting for service (Lq)? 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON