Rauschenberg Manufacturing is investigating which locations would best position its new plantrelative to three important customers (located in cities A, B, and C). As shown in the table below,all three customers require multiple daily deliveries. Management limited the search for this plantto those three locations and compiled the following information:LocationABCCoordinates (miles)(200,100)(400,200)(300,100)a. Which of these three locations yields the smallest load-distance score, based onEuclidean distances?Locationone decimal place.)b. Which of these locations is best, based on rectilinear distances?yields the smallest load-distance score ofLocationwhole number.)c. What are the coordinates of the center of gravity?is the best, yielding a load-distance score of*The center of gravity is x =decimal place.)*Deliveries per daymiles, y=579(Enter your response rounded to(Enter your response as amiles. (Enter your responses rounded to one

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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1. Using the center-of-gravity method, compute the centralized coordinates among the following locations, which are indicated via black cells with white text in LOCATION.xlsx: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 2. Using the weighted average center-of-gravity, which accounts for quantities to be shipped from locations, compute the centralized coordinates among the following locations: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 *Quantities to be shipped are listed within the existing locations (i.e. Location 7,1 ships 17 units) in LOCATION.xlsx
Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup itsdistribution centre.I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of thecompany how the technique can be used. IV. Use the numerical example set up above to demonstrate how the centre of gravitylocation technique is used.
Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) Deliveries per day (200,100) (300,100) (300,300) A 9 B 5 7 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)
A supply chain manager faced with choosing among four possible locations has assessed each location according to the following criteria, where the weights reflect the importance of the criteria. 2 3 4 -Select- is the best location and -Select- -Select- Location 1 Location 2 Location 3 Location 4 Criteria Raw material availability Infrastructure Transportation costs Using this information, determine the best and the worst location. Round your answers to two decimal places. Location Total Points 1 is the worst location. Labor relations Quality of life Weight 0.11 0.13 0.23 0.23 0.30 1 VG G P G G W Location 2 OK OK OK P VG 3 OK VG OK VG G VG Very good 5 pts; G = Good 4 pts; OK = Acceptable 3 pts; P = Poor 1 pt. 4 OK OK G VG OK
A food manufacturer wants to locate a warehouse to serve its major The customers, annual volume, and the X and Y coordinates are shown in the table below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc. 25 3 7 Zac Supermarket 13 5 2 Harry Inc. 6 8 4 Sky Productions 4 1 5 Using the center of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.
William Green, vice president of manufacturing for computer products (CPC), and his staff are studying three midwestern alternative locations for a new production facility for producing high-resolution scanners. His staff analysts predict that the scanners will be a growing market over the next ten years, and the analyst's group shares marketing's enthusiasm for planning facilities for producing this new product line. The analysts have developed these estimates for the three locations; In what range of production volume would each of the locations be preferred (at the minimum cost)? Variable cost locations Annual Fixed costs per scanner Cleveland, Ohio $390,000 $34 South Bend, Indiana $360,000 $37 Grand Rapids, Michigan $310,000 $40
Xun Xu Health and Fitness has several productionfacilities scattered around the central and northern pa rt ofIowa. It would be desirable to have a distribution center fromwhich to send product to retailers such as Sears, WaiMart,Kmart, and large sporting equipment re tailers. Using the datain the following table, calculate the center of gravity locationfor the proposed new facility.
Rauschenberg Manufacturing is investigating which locationswould best position its new plant relative to three importantcustomers (located in cities A, B, and C). As shown in the tablebelow, all three customers require multiple daily deliveries.Management limited the search for this plant to those threelocations and compiled the following information: a. Which of these three locations yields the smallest totaltravel distance, based on Euclidean distances?b. Which of these locations is best, based on rectilineardistances?c. What are the coordinates of the center of gravity?
Which of the following techniques works for location analysis for both service/retail/professional organizations as well as goods-producing organizations? A. Transportation method B. Traffic counts C. Factor-rating method D. Demographic analysis of drawing area.
Q) A discount store chain wants to build a new superstore in an area in Melbourne near four small towns with populations between 10,000 and 40,000. The coordinates (in miles) of these four towns and the market population in each are as follows: Coordinates Carlton St Kilda Ballarat Frankston 12 18 30 32 20 12 8 25 Population 18,000 17,000 10,300 10,000 a) Determine the best site using the center-of-gravity technique. b) Suppose the store is limited to two possible sites for locating a new superstore. The coordinates (in miles) of these two potential sites are site 1 (10, 30) and site 2 (20, 10). Using the load-distance technique, determine the best site for the new super store. c) Plot the four small towns and the proposed new distribution centers according to center of gravity method and load-distance method on a grid map. Give your own opinion about it.
ABC Wants to choose the best location for its new aluminium plant. The manager of productions and operations has three possible locations to choose from. His assistant recommends that he use break-even analysis location technique to help determine which location is best based on costs. Design a numerical example in order to demonstrate to the Productions and Operations Manager how break-even analysis can be used in this Demonstrate to the OM manager how to go about choosing the best location using the numerical example you designed
b. A food manufacturer wants to locate a warehouse to serve its major customers. The customers, annual volume and the X and Y coordinates are shown in the table below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc 25 3 7 Zac Supermarket 13 5 2 Harry Inc. 6 8 4 Sky Productions 4 1 5 i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products

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