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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The Dorben Co. uses a standard hour plan with a base wage of $9/h. It hires an IE consultant to plan a batch production run of 300 units. This consultant has a worker on the line produce 2 units. The first takes 10 min and the second 9.7 min. Assuming that the worker continues to improve her performance, what will she be paid for the full batch of 300 units under the standard hour plan? What is the unit cost for the first unit made? What is the cost for 300th unit? there is already an answer for this question in chegg but it does not explain clearly in steps. I need some clear explanation thnks
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.
Hectic Repair Org. HRO) helps repair homes that are structurally weakened by minor earthquakes. After an earthquake, SmartProtect, an insurance company of some affected customers in the area estimates that the standard time to perform a preliminary damage assessment on an average-sized house would be about two hours. On behalf of the affected customers, SmartProtect is willing to pay a HRO employee doing such damage assessments $65 per hour. Suppose that Michael (an employee at HCRO who does flood damage assessment) takes three hours to complete the assessment on an average-sized house. What is Michael efficiency based on the standard time estimated by SmartProtect? a. Approximately one hundred and fifty percent. b. About one-third of an assessment job per hour c. Approximately one hundred and thirty dollars per assessment d. Approximately one hundred and ninety five dollars per assessment (before taxes) e. Approximately sixty seven percent.
One of the major measures of the quality of service provided by an organization is the speed with which the organization responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a major expansion in the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer, and 15 installation crews. A business objective of the company was to reduce the time between when the complaint is received and when it is resolved. During a recent year, the company received 50 complaints concerning carpet installation. The data from the 50 complaints, represent the number of days between the receipt of the complaint and the resolution of the complaint: 54 5 35 137 31 27 152 2 123 81 74 27 11 19 126 110 110 29 61 35 94 31 26 5 12 4 165 32 29 28 29 26 25 1 14 13 13 10 5 27 4 52 30 22 36 26 20 23 33 68 Construct a frequency distribution and a percentage…
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You are the VP, Advertising for “Yo’ Mama” brand, a fashion label that caters to the young, trendy crowd with an urban, hip-hop image. While your customer base has traditionally been largely African-American, you have recognized a tremendous influx of Hispanic consumers into your market. You are preparing for next week’s annual budget meetings and you have decided to recommend an Hispanic-focused advertising campaign if the average monthly per store sales to Hispanic customers are at least the same as the average monthly per store sales to African-American customers in a sample of typical stores (sales data given below). Using an alpha of .05 and the 5-step hypothesis testing process, what will you recommend? Hint: Think about how many data points you actually have.
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Luke Thorndike, founder and current president of Thorndike Sports Equipment, had guided the business through 34 successful years and was now interested in bringing his favorite grandson Ted into the company. The elder Thorndike, possessed of a sharp but fading wit, begins the meeting with, “Great to see you, Ted. You always were a high-strung kid. Thought you might like to join our tennis racquet division.” Ted counters, “Not quite, but you’re getting warm, Luke.” The Thorndikes have always been a strange bunch. “Seriously, Ted, I’m getting a little up in years, the microcomputer I bought myself for Christ- mas is collecting dust, and I think you and your business degree could bring some new blood to the company. I’d like you to be my executive vice president. I’ve been running this outfit by the seat of my pants for a lot of years now, and the world just seems to be getting too big and too complicated these days. I’ve got index cards and file folders just about piled up to the ceiling…
You're a quality engineer at Norman's fouth largest cracker factory. where there are two production lines (A, which produces 20% of cracker boxes, and B which produces the rest). If a line produces more than one defective box in an eight -hour day, a maintenance check on the line is performed. Line A produces an average of 0.061 box defects PER Hour. Given that you're only looking at a line A, what is the probability that you will need a request a maitenance check.

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