Suppose a coffee shop ordering and fulfillment process is a 2-stage queuing system. In stage 1, the customer waits in line and then places anorder for a beverage and any desired food. In stage 2 the order is prepared and served (order fulfilled), while the customer waits.Suppose that an average of 10 customers per hour enter the coffee shop. In the entire 2-stage ordering and fulfillment process, there are anaverage of 5 customers in total at any time. The average time to take a customer's order is 1 minute, and customers usually wait an averageof 4 minutes for their order to fulfilled.Which of the following statements are true assuming the coffee shop ordering and fulfillment system is in steady-state?Wait times to place an order are 25 minutes.Wait times to place an order are 30 minutes.The service rate is 10 customer per hour.On average a customer arrives every 5 minutes.Exactly two answers are correct.None of the answers are correct.

ANSWER: First, let's define some terms: λ: Average arrival rate of customers (customers per unit…

Answered: Suppose a coffee shop ordering and…

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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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
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.
Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 11 calls per hour. The arrival rate is 22 calls per hour. How many extension lines should be used if the company wants to handle 90% of the calls immediately?4 lines What is the average number of extension lines that will be busy if your recommendation in part (a) is used? Round your answer to four decimal places.L = ?????????? What percentage of calls receive a busy signal for the current telephone system with two extension lines? Round your answer to two decimal places.40 %
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
A manufacturing company receives orders for engines from two assembly plants Plant I needs at least 45 engines, and plant Il needs at least 32 engines. The company can send at K most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant il gives similar $10 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs. subject to the given constraints? The number of engines to send to plant I is. The number of engines to send to plant II is

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