The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. City Map Coordinates (x,y) (4,10) (6,7) (5,8) (7,4) (8,8) (3,1) (2,7) a) For the location of the proposed new central hub, the coordinates should be near: x = 5.35 (round your response to two decimal places). y = (round your response to two decimal places). ;
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- Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) Deliveries per day (200,100) (300,100) (300,300) A 9 B 5 7 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Using the Center of Gravity method, near which map coordinates should the hub be located? STORE LOCATION CONTAINERS SHIPPED PER MONTH X Y Chicago 2,000 50 120 Pittsburgh 1,000 110 100 New York 3,000 160 130 Atlanta 2,000 120 40A toy manufacturer produces toys in five locations throughout the country. Raw materials (primarily barrels of powdered plastic) will be shipped from a new, centralized warehouse whose location is to be determined. The monthly quantities to be shipped to each location are the same. A coordinate system has been established, and the coordinates of each location have been determined as shown. Determine the coordinates of the centralized warehouse.Location (x,y)A 3,7B 8,2C 4,6D 4,1E 6,4
- 8.20 The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. s. City bne cmedel Shipping Load Map Coordinate (x, y) (5, 10) (6, 8) (4, 9) (9, 5) (7, 9) (3, 2) 10 15 15 10 G (2, 6) a) Near which map coordinates should the hub be located? b) If the shipments from city A triple, how does this change the coordinates? Px ABCDEA 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) 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 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.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…A clothing manufacturer produces women’s clothes at four locations in Mexico. Relative locationshave been determined, as shown in the table below. The location of a central shipping pointfor bolts of cloth must now be determined. Weekly quantities to be shipped to each location arealso shown in the table. Determine the coordinates of the location that will minimize distributioncosts. Location (x,y) WeeklyQuantityA 5,7 15B 6,9 20C 3,9 25D 9,4 30
- 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 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 centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.b. 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 the table below. Customer Judy inc. Zac Supermarket Harry Inc. Sky Productions Annual Volume X-Coordinate Y-Coordinate 3 7 5 2 8 4 1 5 25 13 6 4 i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. a) Near which map coordinates should the hub be located?b) If the shipments from city A triple, how does this change the coordinates?