below. What is the approximate center of gravity of these four locations?
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- A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations? (Round answer to two decimal places.) Location Drop-off point A Drop-off point B Drop-off point C Drop-off point D O A. (22.46, 25.17) O B. (8.00, 10.00) O C. (1,370.00, 730.00) O D. (11.25, 11.25) O E. (13.70, 7.30) X-coordinate 5 8 41 7 Y-coordinate 7 275 10 Tonnage 20 30 20 30A 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)133a. 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
- CVS 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: Market Segment Location Coordinates Number of Customers x y 1 8 13 2000 2 10 16 800 3 4 8 1600 4 12 4 3200 Find the best location using the Center of Gravity Excel template1. 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 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.
- (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 200use this data starting with north west corner solution do 1 u-v iteration?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
- How to find centroid and area of given area?.Q3) 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 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. Populate the relevant data using your group number below. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this All mileage references use the city of Lake Charles as (0,0). Village Miles East of Lake Charles Miles North of Lake Charles Sugar Cane tonnage Arceneaux 90 10 2400*13 Boudreaux 140 60 3200*13 Cancienne 20 70 4500*13 Darbonne 50 20 1200*13 Evangeline 100 80 6000*13 Fontenot 10 120 14000*13Determine the suitable location of a distribution centre with the below data, minimizing the transportation dollars spent on managing inbound and outbound shipments. Plot the location of the Vendors, Customers and the location of the new DC in a chart Vendor V1 V2 V3 V4 Customer C1 C2 C3 C4 Rate $ per Ton Mile $ $ $ $ 4.75 3.75 3.15 4.75 Rate $ per Ton Mile $ $ $ $ 3.50 3.75 4.25 5.00 Volume in Tons 1000 1000 1600 1400 Volume in Tons 760 640 800 500 Vendor Location Coordinates (miles) Horizontal 525 600 412.5 300 Vertical 300 750 750 630 Customer Location Coordinates(miles) Vertical 450 900 1050 975 Horizontal 900 900 825 1050