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- The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?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…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 company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. Given the locations of the receiving stations and the volumes to be shipped daily, determine the location of the disposal center.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
- 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 60,000 140,000A larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 4 (4, 6) (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 2 1 11 5 7 6 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = 9 The center of gravity "Y" coordinate = 8. b. Compare the load-distance scores for the…A larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 4 (4, 6) 7 (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 3 1 4 11 7 3 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = The center of gravity "Y" coordinate =
- A larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 8 2 2 1 6 3 4 6 7 M 2 4 8 The center of gravity "X" coordinate = 10 The center of gravity "Y" coordinate = 6 (11,5) (15,5) (1, 13) (2, 1) (4, 14) (16, 12) (15,5) (14,2) a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) b. Compare the load-distance scores for the…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.xlsxA 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.