Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
Bartleby Related Questions Icon

Related questions

Question
Road Rambler sells specialty running shoes and apparel through catalogs and the Web. Customers can phone in orders at any time day or night, seven days a week. During the 4 a.m. to 8 a.m. shift, a single sales rep handles all calls. During this time, calls arrive at a rate of 18 per hour following a Poisson distribution. It takes the sales rep an average of 3 minutes to process each call. The variability in service times is approximately exponentially distributed. All calls received while the sales rep is busy are placed in a queue.
(a) On average, how long (in minutes) must callers wait before talking to the sales rep? (Round your answer to the nearest integer.)
 ______ minutes

(b) On average, how many customers are on hold? (Round your answer to four decimal places.)
 ______ customers

(c) What is the probability that the customer will be placed on hold? (Round your answer to four decimal places.)
 
(d) What is the sales rep's utilization rate (in percent)? (Round your answer to two decimal places.)
 _______ %
(e) Suppose Road Rambler wants there to be no more than a 10% chance that a customer will be placed on hold. How many sales reps should the company employ?
They should employ at least ______ sales reps.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Text book image
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Text book image
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Basic Technical Mathematics
Advanced Math
ISBN:9780134437705
Author:Washington
Publisher:PEARSON
Text book image
Topology
Advanced Math
ISBN:9780134689517
Author:Munkres, James R.
Publisher:Pearson,