b Determine the optimum location for the new plant such that the distance move is minimum (use SimpleMedian Model). Show your complete solution.Existing PlantLocation (x,y) of existing plantLoads to be shifted from new plant toexisting plantsF1(20,30)F2(10,40)F3(30,50)F4(40,60)755900450500

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Answered: Determine the optimum location for the…

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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Potential locations A and B have the cost structure shown below for manufacturing a product expected to sell for $7/unit. Make use of the graphical analysis discussed in the class, and choose all options that are true. Let "x" denote the number of units produced Cost details for locations A & B Fixed cost ($) 0 1200 Location A B Check All That Apply It x less than equal to 896, choose location A If x=800 units, choose location B Variable cost ($/unit) 12/7 3/8 Ifx-1000, choose location B
Consider you are an owner of one IT organization with 200 employees and youwant to keep track of the location information of each employee. You know thatnone of the employees will go out from the city and the radius of the city is 50 km.What kind of location measure technique will be appropriate for you to keep trackcontinuous location information?
a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000
A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table: Location ( x, y ) Daily Volume ( in truck loads ) A (5.70,5.00) 15 B (4.00,7.70 ) 9 C (1.90,2.80 ) 18 D (2.10,5.20 ) 16 E (7.50, 6.30) 17 1. Which one of the following coordinate is closest to the optimal location using median method? a) (4.00,5.20) b) (4.00,3.64) c) (2.60,5.20) d) (5.80,3.12) 2. Which one of the following coordinate is closest to the optimal location using gravity method? a) (4.22,4.62) b) (5.91,6.16) c) (4.22,5.13) d) (5.28,5.13) 3. Which one of the following is closest to the total distance traveled (optimal objective function value) using Rectilinear distance measure for the optimal median solution? a) 241 b)352 c)157 d)133
I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's X coordinate? Round to the nearest whole number (e.g. 33.2 -> 33). I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's Y coordinate? Round to the nearest whole number (e.g. 33.2 -> 33). 0*10 + 20*40 = 800. Sum of loads = 50. Y coordinate = 16
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)
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
Consider you are an owner of one IT organization with 200 employees and youwant to keep track of the location information of each employee. You know thatnone of the employees will go out from the city and the radius of the city is 50km. What kind of location measure technique will be appropriate for you to keeptrack of continuous location information? Explain with proper justification. Also,show how your chosen location measurement is better than the other ones.
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
Locating Warehouses. Southeastern Foods has hired you to analyze their distribution-system design. The company has 11 distribution centers, with monthly volumes as listed below. Seven of these sites can support warehouses, in terms of the infrastructure available, and are designated by (W). The monthly fixed cost for operating one of these warehouses is estimated at $3,600, although there is no capacity limit in their design. Southeastern could build warehouses at any of the designated locations, but its criterion is to minimize the total of fixed operating costs and variable shipment costs. The table below shows the cost per carton of shipping from any potential warehouse location to any distribution center. Using the evolutionary solver, find the minimum monthly cost for Southeastern Foods.
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.)
Consider this data for three potential locations A1, A2, and A3. factor weight A1 A2 A3 initial cost 100 150 140 traffic 12 40 40 30 maintenance 2 20 25 18 dock space 25 10 12 neighborhood 4 12 8 15 What is the composite score for the alternative "A2"? (Compute composite score as the sum of (weight times score) - i.e. you do not have to convert weights to add to one)

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