Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with anarrival rate of 13 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 20 customers per hour.It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than five minutes. After reviewing the waiting line analysis of his store,the manager of Pete's Market wants to consider one of the following alternatives for improving service.(a) Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-serveroperation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.)LaWqPo(b) Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 20 customers per hour for each server. (Round your answersto four decimal places. Report time in hours.)LaW=q==h=h

(a) Improved single-server operation with a service rate of 30 customers per hour: The arrival rate…

Answered: It is the manager's service goal to…

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...

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A pharmaceutical firm wishes to allocate Php50,000 towards advertising in newspapers and magazines. The intention of the firm is to maximize the exposure of its advertisements. Each page of the leading newspapers costs Php500 and each page of the magazine costs Php1,000. It is guaranteed that each page of the magazine will reach an audience of 250,000, while 50,000 persons will read each page of the newspaper advertisement. Furthermore, it is specified that at least one page of the magazine and newspaper will be allocated for the firm's advertisement. Find the number of pages of magazine advertisement that will maximize exposure and still remain within the Php50,000 budget. Solve using graphical method. Newspaper Magazine Limitations 1 1 1. 500 1000 50,000 50,000 250,000
A factory ships weekly shipments of an item to a distribution center and the average quantity shipped is 350 units. The weekly ordering rate for this distribution center is 50 units for an item. Unit price is $ 650. The period of supply from the factory to the distribution center is two weeks (2 weeks). The distribution center must pay for the stock from the moment the manufacturer ships the goods. If the distribution center wants to increase the purchase quantity to 400 units, the factory will give priority to the distribution center and guarantee it Supply period (one week only). Required: What is the effect on the average cycle inventory and the pipeline inventory of the distribution center? With the necessity to comment on the results.
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