Y = _____ (round your response to two decimal places)

Y = _____ (round your response to two decimal places)

Y = _____ (round your response to two decimal places)

A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. City Covington Donaldsonville Houma Monroe Natchitoches New Iberia Opelousas Ruston Map Coordinates X Y 9.4 3.2 7.3 2.5 7.8 1.1 5.0 8.7 2.8 6.2 5.5 2.7 5.2 3.9 4.0 82 For the location of the new central office, the coordinates should be near: *= (round your response to two decimal places). Todd's Direct, a major TV sales chain headquartered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new outlet in the center of Mobile's population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. Census Population in Census X, Y Map Tract Tract Coordinates 101 2,000 (24.44) 102 4,800 (24.24) 103 10,500 (52,42) 104 7,000 (50,20) 105 10,400 (84,48) 106 21,000 (72,18) 107 12,000 (96,25) a) The center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be: x=(round your response to two decimal places). 4 D 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) Shipping Load (6,12) B (5.7) 9 (3.8) 16 (9,6) E (7.8) F (2.2) 10 G (2,6) a) For the location of the proposed new central hub, the coordinates should be near: x = 4.57 (round your response to two decimal places). 4 16 6 y = 6.88 (round your response to two decimal places). b) If the shipments from city A double, for the location of the proposed new central hub, the coordinates should be near: x = 4.73 (round your response to two decimal places)