The Metropolis Public Library plans to expand with its first major branch library in the city's growing north side. The branch wiserve six census tracts. Here are the coordinates of each tract and the population within it:CENSUS TRACTCENTER OF TRACTPOPULATION IN TRACT503–Logan Square(3, 4)45,000519-Albany Park(4, 5)25,000522-Rogers Park(3, 6)62,000538–Kentwood(4, 7)51,000540-Roosevelt(2, 3)32,000561-Western(5, 2)29,000Using the center-of-gravity method, what should be the coordinate location of the branch library?

Answered: The Metropolis Public Library plans to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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West Gorham High School is to be located at the population center of gravity of three communities: Westbrook, population 16,000; Scarborough, population 22,000; and Gorham, population 36,500. Westbrook is located at 43.6769°N, 70.3717°W; Scarborough is located at 43.5781°N, 70.3222°W; and Gorham is located at 43.6795°N, 70.4447°W. a. Where should West Gorham High School be located? b. If only two pieces of adequate land are available for sale: Baker’s Field at 43.6784°N, 70.3827°W; or Lonesome Acres at 43.5119°N, 70.3856°W, using rectilinear distances, which is closer to the site located in part (a)?
a. You are given the following information for the Limassol District: Population 2020 Population growth rate 2021 Population growth rate 2022 Average household size 2020 Average household size 2021-2022 Total housing stock 2020 Number of housing units in building permits that were issued in 2019 Number of housing units in building permits that were issued in 2020 248,500 1.6% 2.3% 2.68 2.61 99,869 1,980 1,210 Assuming that it takes two years from the date of the building permit issuance to complete a housing unit and making any other assumptions needed, calculate the difference between demand for and supply of housing at the end of 2022. Show clearly and explain all your calculations. Also, explain what the result of your calculations means in terms of the expected market situation in 2022 (equilibrium, excess demand or oversupply) and how house prices should move as aresult of this situation.
Microserve provides computer repair service on a contract basis to customers in five sections of the city. The five sections, the number of service contracts in each section, and the x and y coordinates of each section are as follows: Section Parkview Mt. Airy Valley Norwood Southgate No. of Contracts 90 220 60 3.4 14.2 290 17.7 160 14.0 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: Cy: Choose the correct graph representing the center of gravity. The correct graph is -Select- v A. C. Center of Gravity 20 Y- Coordinate y- 16- 12- 8 4+ 20- 16- 12 ● ● • 12 x- Coordinate Center of Gravity y- Coordinate: 16 ● B. D. -20+ -16- 12 8+ 20 16- 12 Center of Gravity y- Coordinate 8 12 x- Coordinate Center of Gravity y- Coordinate ● 16 Coordinates X Y 6.2 11.9 4.2 5.3 4.4 10.9
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.
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
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) Determine the total number of future trips generated in all zone? This table shows Number of currant Household and currant trips Zone A Zone B Zone C No. of No. of No. of person/Household = person/Household = person/Household = Auto/ Household 1 2-3 >3 No. of No. of No. of No. of No. of No. of Н.Н trips Н.Н trips Н.Н trips 1100 220 1500 600 1800 1080 1 950 380 1200 600 120 90 >1 80 100 200 300 50 80 This table shows Number of future Household Zone A Zone B Zone CTH No. of No. of No. of Auto/ Household person/Household = person/Household = person/Household 1 2-3 >3 3000 5000 6000 1 1500 4000 800 >1 300 700 200
The ABC Company plans to locate a warehouse using the center-of-gravity model to serve four different customers. Find the coordinates for the warehouse given the following information:
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
Oscar's Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 275,000 5 5 Scottsdale 415,000 5 10 Chandler 310,000 5 0 Mesa 660,000 10 1 Glendale 335,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of nothing and a y coordinate of nothing. b. If Oscar wanted to relocate to the closest city near his new facility, where would he live? (Enter your responses rounded to one decimal place.)
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
Microserve provides computer repair service on a contract basis to customers in five sections of the city. The five sections, the number of service contracts in each section, and the x and y coordinates of each section are as follows: No. of Coordinates Section Contracts x y Parkview 70 5.2 8.3 Mt. Airy 200 3.6 3.0 Valley 70 13.6 7.2 Norwood 300 15.1 4.0 Southgate 170 13.8 8.7 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: ____________Cy: ____________ 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…

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