Problem 15-10 (Algo) A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table: PLANT LOCATION COORDINATES (x, y) VOLUME (PARTS PER YEAR) Peoria 304, 293 4,100 Decatur 377, 472 6,050 Joliet 469, 171 3,100 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Cx Cy

Problem 15-10 (Algo) A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table: PLANT LOCATION COORDINATES (x, y) VOLUME (PARTS PER YEAR) Peoria 304, 293 4,100 Decatur 377, 472 6,050 Joliet 469, 171 3,100 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Cx Cy

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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Problem 15-10 (Algo) A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table: PLANT LOCATION Peoria Decatur Joliet COORDINATES (x, y) 306, 307 373, 468 468, 175 Cx Cy VOLUME (PARTS PER YEAR) 4,200 6,150 2,900 Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)
The Times-Picayune is searching for an ideal spotting station for the morning paper. The table below shows potential neighborhoods, their location on an XY grid of the city, and typical morning volume. What is the location that will minimize the transportation costs for the newspaper? Customer Annual Volume X-Coordinate Y-Coordinate Florida 255 6 4 Desire 150 7 6 Lafitte 235 2 4 Iberville 450 2 6 Guste 175 2 6 CJ Peete 255 1 4 Group of answer choices Near (3.0, 5.0) Near (2.8, 4.8) Near (2.5, 5.4) Near (2.8, 5.2)
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.
Problem 14-10 A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table: VOLUME COORDINATES (x, y) 299, 298 380, 462 478, 190 PLANT LOCATION (PARTS PER YEAR) 4,000 6,000 3,000 Peoria Decatur Joliet Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Сх Cy
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 Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.
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
Develop a network showing the origin nodes, destinations, arcs, cost per arc, supply, and demand. Match the correct answer to each question. Warehouse A B C D City E City F City G City H Warehouse Supply. 0.51 0.21 0.52 0.41 4000 Question 1 0.31 Question 2 0.56 0.43 0.35 0.41 0.28 City Demand 4,400 3,000 6,500 4,700 Match the correct answer to the following questions: 1. What is the supply constraint for Warehouse D? 2. What demand constraint for City H? 0.32 0.54 0.33 4000 0.54 0.34 0.52 6300 6000 [Choose ] [Choose ] > >
The Zhao family of Atlanta, Georgia, is planning its annual summer vacation. Three vacation locations along with criteria weights and location ratings follow. What is the recommended vacation location? Criteria Travel distance Vacation Entertainment available Outdoor activities Unique experience Family fun O Myrtle Beach, South Carolina OSmoky Mountains Branson, Missouri Weight 2 5 3 2 4 5 Myrtle Beach, South Carolina 5 5 7 9 5 8 Ratings Smoky Mountains 9 6 4 6 9 9 Branson, Missouri 3 8 4 5 9 8
A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plats with their coordinates and volume requirements are given in the following table Plant location Coordination (x,y) Volume (parts per yr.) Peoria 292,295 3,800 Decatur 384,474 5,800 Joliet 480,181 2,800 Use the centroid method to determine the best location for this new facility (round 1 decimal pt.) please. thank you
An operations manager wants to use gravity location approximation to decide the location of a warehouse. The x and y coordinates of three customer locations, demand (D) at those locations, and transportation costs per unit per mile (F) are presented in the table below. Help the operations manager by finding the approximate location of the warehouse. Customers y F 1 10 20 1 10 2 20 1 20 3 10 10 2 10 x=20, y=10 x=14, y=10 x=10, y=14 x=13.3, y=11.7 O x=10, y=15
A valve manufacturer is considering three alternative locations for a new plant for manufacturing ball valves for oil and gas industry. Since the plant ships nationwide, revenue is assumed the same regardless of plant location. The estimated annual fixed and variable costs for each site is shown in TABLE Location Costs A B C Fixed (RM) 700,000 1,000,000 $1,500,000 Variable (RM) $28 $18 $12 Identify the range of output for which each location provides the lowest total cost. Show necessary graph and calculation used in the analysis. Discuss on the finding(s).
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. Location Criteria Weight 1 2 3 4 Raw material availability 0.06 P VG OK VG Infrastructute 0.07 P G VG OK Transportation costs 0.33 G P OK P Labor relations 0.25 VG G P OK Quality of life 0.29 G OK P VG VG = Very good 5 pts; G = Good 4 pts; OK = Acceptable 3 pts ; P = Poor 1 pt. Using this information, determine the best and the worst location. Round your answers to two decimal places. Location Total Points 1 2 3 4 ______ is the best location and _______ is the worst location.