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

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). 010 + 2040 = 800. Sum of loads = 50. Y coordinate = 16

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

See similar textbooks

Similar questions

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
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
East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? X-coordinate Y-coordinate Volume Athens, Texas Beaumont, Texas 30 30 150 20 10 350 Carthage, Texas Denton, Texas 10 70 100 50 50 400 OX-28.125; Y = 31.25 OX= 32500; Y = 35000 %3D X 32.5; Y = 35 X- 27.5; Y 40 O center of gravity 28
Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.
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 farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane 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).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000
You are deciding where to locate a warehouse. You want to choose a single location to minimize the average transportation cost. Calculate the optimal coordinates of the warehouse,X Y Demand20 20 1030 23 3042 31 1027 8 2546 9 50
Compute the average time it takes to sell a car in the country discussed below. A high-end luxury car manufacturer sells 22,000 cars per year to four dealerships in four regions of a country. Assume 50 weeks per year. Out of this total sale, 30% of the cars are sold in North-Region, 23% are sold in East-Region, 11% are sold in West-Region, and the rest are sold in South-Region. On average there are 1,000 cars of this manufacturer in all dealerships. Out of this total inventory, 19% of the cars are in the dealership in North-Region, 30% is in East-Region, 11% is in West-Region, and the rest is in South-Region..
Sarah and Alice live and work in different regions of the same country. Each is considering a move to the most economically-prosperous region of this country (referred to below as the “destination region”). Assume that Sarah and Alice are identical in every way except for the following differences: Sarah’s home region is next to the destination region Sarah’s home region is culturally distinct from all other regions in the country Alice’s home region is roughly 2000 km away from the destination region Sarah is 25 years old, while Alice is 35 The unemployment rate in Sarah’s home region is 6.5% The unemployment rate in Alice’s home region is 8% The unemployment rate in the destination region is 5% a) Given this information, describe two reasons why we might expect Sarah to be more likely than Alice to migrate to the destination region. b) Given this information, describe two reasons why we might expect Alice to be more likely than Sarah to migrate to the destination region.
J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)
A farmers' cooperative association plans to build a new sugar mill in Southwestern Louisiana. The primary objective of the mill is to provide the farmers with a place to take their crop for processing and then transport the processed crop to their customers. While there are over 200 sugar cane farms in the region, they are tightly clustered around a few villages. Using the data below, calculate the coordinates of the best location for this mill. All mileage references use the city of Lake Charles as (0,0). Sources/Markets Transportation Quantity Xn Yn Cost $/ton mile in Tons (Fn) (Dn) Supply Arceneaux Boudreaux Cancienne Market Darbonne Evangeline Fontenot 4.3 240,000 90 140 20 10 60 70 4.8 320,000 120,000 4.1 5.25 3.95 4.85 450,000 90,000 140,000 50 20 100 80 120 10 a) What is the cost to transport 10000 tons of material between Arceneaux and Darbonne locations? b) What is the optimal location for the mill? c) What is the minimal shipping cost that satisfies all requirements?
The Walgreen chain prefers to operate one outlet in a town that has four major market segments. The number of potential customers in each segment along with the coordinates are as follows: Find the best location using the Center of Gravity Excel template. Market Segment Location Coordinates Number of Customers x y 1 4 15 3300 2 10 13 900 3 5 2 1250 4 9 6 3500