Question 2. Waste Management's Hazardous Waste Division, 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 as shown below, determine the location of the disposal center rounded to the nearest whole number. 7 9 Y Coordinate 4 3 5 2 1 D, 2, 6 2 3 C, 4, 7 B, 4, 1 Coordinates X 5 6 7 X Coordinate Y 00 E, 8, 7 1 A, 10, 5. Select Value 1 9 10 11
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- 1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.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 60,000 140,00010 11 12 13 14 15 16 17 18 19 20 21 22 23 24 A 25 26 27 28 29 30 B с 1 2 Based on the city distance dataset as follows: 3 4 5 6 7 8 9 1 Boston 2 Chicago 3 Dallas 4 Denver 5 LA 6 Miami 7 Phoenix 8 Seattle D Phoenix Chicago Denver Dallas 0 983 1815 1991 3036 1539 2664 2612 Boston Chicago Dallas Total trip miles by the traveler: Index Cities Seattle LA E Total trip miles 983 0 1205 1050 2112 1390 1729 2052 F Distance 1815 1205 0 801 1425 1332 1027 2404 G Denver LA 1991 1050 801 0 1174 2100 836 1373 H 3036 2112 1425 1174 0 2757 398 1909 I Miami 1539 1390 1332 2100 2757 0 2359 3389 J K Phoenix Seattle 2664 1729 1027 836 398 2359 0 1482 A resident of Seattle is embarking on a road trip that takes her to Los Angeles, Phoenix, Chicago, Denver, Dallas, and finally go back to Seattle. How many miles will she travel on this trip? Hint: Use INDEX and MATCH to answer the above question. 2612 2052 2404 1373 1909 3389 1482 0 L M N
- 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.xlsxQuestion 3Melcom Ghana Limited intends to build a new warehouse facility to serve its stores in six regionsin Ghana. The cities are Aflao, Obuasi, Mankessim, Takoradi and Tamale. The coordinates ofthese cities (in miles), using Accra as the origin (0,0) of a set of coordinates, and the annualtruckloads that supply each city are shown as follows:Destination X Y QuantityAflao 350 185 1200Obuasi 250 350 450Mankessim 450 300 900Takoradi 400 400 550Tamale 500 450 600a. Determine the best site using the centre-of-gravity technique b. Assume three proposed sites:???? 1: ?1 = 180, ?1 = 360???? 2: ?2 = 450, ?2 = 420???? 3: ?3 = 350, ?3 = 250are being considered. Which site should be selected based on the load-distance techniqueb. A food manufacturer wants to locate a warehouse to serve its major customers.The customers, annual volume and the X and Y coordinates are shown in thetable below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc. 25 3 7Zac Supermarket 13 5 2Harry Inc. 6 8 4Sky Productions 4 1 5 i. Using the centre of gravity location technique, determine the locationcoordinates that will minimize the transportation costs for their family ofproducts
- How to find centroid and area of given area?.4. What is the K-means clustering method?3. Figure 1 Daily Subway and Bus Use in Five Major Cities 0.75 0.5 0.25 Subway OBus London Tokyo Singapore Hong Kong Figure 2 Subway vs. Bus Ridership, New York City OBus Subway 1970 1980 1990 2000 2010 Information in figure I suggests that public transportation users in London Information in Figure I supports the author's point that buses are growing in popularity as a means of urban transport by indicating that A) take subways and buses at similar rates. B) are unusually reliant on buses. C) take at least one subway trip daily. D) take subways at about the same rate as people A) many people around the world take at least one bus trip every day. B) bus ridership surpasses subway ridership in some major cities. C) people in Tokyo make far more trips by bus daily than they do trips by subway. D) the number of bus trips taken by people in major cities has substantially increased. in New York. 2 Which of the following statements about bus use in New York City is best supported by…
- a) b) Cargo Statistics (Freight Weight Tonne) Source: Port Klang Authority Official Portal, 2018 Based on the above table: c) Cargo Statistics (Freight Weight Tonne) Year Dry Bulk Liquid Bulk General Container Total 109,658,732 122,004,592 2005 8,648,931 5,291,150 7,989,319 87,729,332 2006 8,499,114 5,652,325 7,879,086 99,974,067 2007 7,651,197 5,443,261 2008 7,501,160 5,618,335 9,072,372 130,156,643 152,348,510 2009 4,947,486 5,778,601 7,690,757 9,048,023 113,372,115 135,514,596 119,276,676 137,693,520 6,398,369 8,614,812 147,081,483 170,957,449 7,751,074 9,829,213 166,576,695 194,167,667 197,907,084 2010 8,862,785 2011 10,010,685 2012 10,010,573 7,396,956 10,373,165 169,824,390 2013 10,531,812 8,063,651 2014 10,327,287 6,212,566 9,425,756 191,323,740 217,289,349 2015 10,140,564 4,929,554 9,223,965 2016 7,281,820 9,972,322 11,246,909 170,436,528 200,278,901 195,548,521 219,842,603 207,488,632 235,588,801 10,846,027 2017 10,623,637 6,547,363 8,318,739 186,145,852 211,635,591 List five…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 30(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