Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12.5, Problem 13P
Summary Introduction
To create: A column chart for the values in Column E and F.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Please show solution and formula used.
Assuming the total number of students studying in the top four universities in the Philippines is approximately 158,000.
And the distribution is as follows:
University of the Philippines (UP) - 40% of the total number
Ateneo de Manila University (ADMU) - 23,700
De La Salle University (DLSU) - 25% of the total number
University of Santo Tomas - 20% of the total number
And only the following number of students owns a tablet computer:
20% of UP students
85% of ADMU students
90% of DLSU students
85% of UST students
What is the total market penetration of tablet computers among the students of the top four universities?
What is the total market size of tablet computers in the top four universities?
• Use this information for the question below.
Low-Grade Copper Ore $571 per Ton
High-Grade Copper Ore $843 per Ton
Coloma Cooper Incorporated is able to produce $640 worth of copper from one ton of low-grade copper ore. Because of its higher copper content, Coloma can produce $940 worth of copper from one ton of high-grade copper ore. A mining company is offering to trade 7,250 tons of low-grade copper ore for 5,000 tons of high-grade copper ore.
Assuming Coloma currently has 5,000 tons of high-grade ore, what should it do?
The average time between the arrivals of the taxis arriving at the airport to pick up passengers has an exponential distribution, with an average of 10 minutes.
a) What is the probability that a passenger will wait for the taxi less than 15 minutes?
b) What is the probability that a passenger will wait for the taxi between 20 and 30 minutes? Solve using the cumulative distribution function
H1
Chapter 12 Solutions
Practical Management Science
Ch. 12.3 - Prob. 1PCh. 12.3 - Explain the basic relationship between the...Ch. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.4 - Prob. 5PCh. 12.4 - Prob. 6PCh. 12.4 - Prob. 7PCh. 12.4 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10P
Ch. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 18PCh. 12.5 - Prob. 19PCh. 12.5 - Prob. 20PCh. 12.5 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.5 - On average, 100 customers arrive per hour at the...Ch. 12.5 - Prob. 24PCh. 12.5 - Prob. 25PCh. 12.5 - Prob. 26PCh. 12.5 - Prob. 27PCh. 12.5 - Prob. 28PCh. 12.5 - Prob. 29PCh. 12.5 - Prob. 30PCh. 12.5 - Prob. 31PCh. 12.5 - Prob. 32PCh. 12.5 - Prob. 33PCh. 12.5 - Prob. 34PCh. 12.5 - Prob. 35PCh. 12.5 - Two one-barber shops sit side by side in Dunkirk...Ch. 12.5 - Prob. 37PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 54PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.arrow_forwardA small grocery store has a single cashier lane where groceries line up to pay for their purchases. Interarrival time of customers is exponentially distributed with mean of 3 mins. Due to the variety in type and number of items purchased, transaction time is approximately exponentially distributed with mean 2.5 mins. a. Compute for the average number of customers in the cashier lane. b. Find the probability that there are at most 4 customers in the lane. c. What is the proportion of time that the cashier is idle? d. Find the average time a customer spends in the cashier, including queuing time and transaction time. e. Buying a POS machine will help reduce average transaction time to only 2 mins. (20% reduction) with the aid of a barcode reader - eliminating the need to type item codes manually. If implemented, find the percent reduction in the average time a customer spends in the cashier.arrow_forwardSolve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?arrow_forward
- 41) Burger Cart April has a popular burger cart where an average of 12 customers per hour arrive to buy a burger. April can serve an average of 20 customers per hour. Layla runs a coffee stand across the street from April. As Layla looks over at April's burger cart, what is the probability she will see 3 customers at the cart (in line or being served)? Group of answer choices 0.4219 0.0156 0.7500 0.0117 0.0720 0.1055 0.2500 42) Burger Cart The average time required to serve a customer = _______ minutes. Group of answer choices 2.50 minutes 1.67 minutes 3.00 minutes 20.00 minutes 4.00 minutes 5.00 minutes 2.00 minutesarrow_forwardTraffic lights placed at highway on-ramps which alternate between stop (red light) and go(green light) at fixed time intervals; e.g., every 10 seconds, A. convert the arriving traffic from following a normal distribution to following an exponentialdistribution.B. convert the arriving traffic from following an exponential distribution to following a normaldistribution.C. convert the arriving traffic from following a uniform distribution to following a Poissondistribution.D. convert the arriving traffic from following a Poisson distribution to following a uniformdistributionarrow_forwardTRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.arrow_forward
- Telephone calls come into an office at random. The time between calls is the following discrete distribution: Service time Probability 6 .40 7 .30 8 .20 9 .10 When the receptionist is busy, a telephone message tells the caller that the call is important and to please wait on the line until the next reservation agent becomes available. We can assume that customers don’t hang up once they join the call queue. The service time for call follows a normal distribution with a mean of 8 mins and standard deviation of 2.5 mins Simulate the operation of the office telephone system for 1100 customers. Discard the first 100 customers and use data over the next 1000 customers to answer the following questions: What is the average waiting time for customers? What is the utilization of the receptionist? What is the probability that a customer waits for longer than 1 min before their call is answered?arrow_forward1.) In cell C19, insert a formula that will calculate the projected advertising spending after the forecasted increase in cell A18 is added to the 2019 total. Ensure that the reference to cell A18 is an absolute cell reference. ^What is the Formula? 2.) Copy the formula and formatting in cell C19 to the range D19:F19arrow_forwardA retailer is considering two possible definitions of “in stock”:I. A product is in stock if it has at least one unit on hand at the end of the day.II. A product is in stock if it has satisfied all demand during a day.For a fixed order-up-to level, which definition yields the higher in-stock probability? a. Definition I because if one unit is on hand, then all demand must have been satisfied.b. Definition II because the firm is more likely to satisfy all demand than to end theday with one unit on hand.c. Definition II because if all demand is satisfied, then there must be some inventory left over.d. Either one is possible because it will depend on the particular order-up-to policychosen, the distribution function of demand, and the lead timearrow_forward
- A company’s warehouse can store up to 4 units of agood. Each month, an average of 10 orders for the good arereceived. The times between the receipt of successive ordersare exponentially distributed. When an item is used to fillan order, a replacement item is immediately ordered, and ittakes an average of one month for a replacement item toarrive. If no items are on hand when an order is received,the order is lost. What fraction of all orders will be lost dueto shortages?arrow_forwardThe manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?arrow_forwardThe average number of operational losses in a year at a particular plant is 18, so the number of losses in a year is distributed Poisson, with mean 18.) Given the distribution parameter from the previous question: What is the average number of weeks between operational losses (assume 52 weeks per year)? What is the probability that two operational losses will occur within two weeks of each other (i.e., given an operational loss today, what’s the probability the next one will happen in less than two weeks)?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,