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A single doughnut production facility is needed to meet the daily delivery demands of four markets, all of which are at intersections in a
A single doughnut production facility is needed to meet the daily delivery demands of four markets, all of which are at intersections in a road system that has been constructed as a grid. The locations and daily demands of these four markets are shown below. The coordinates are measured in miles from an origin at (0, 0). Demands are given in dozens of doughnuts to be delivered each day. Daily Market Coordinates Demand Anthill (8,6) 10 Bay Cropper (4,12) 15 Downtown (3,2) (9,6) 10 6 a. If the production facility were located at Cropper, what would the rectilinear load- distance score be for the daily deliveries? b. Using the center of gravity method, identify the coordinates where the production facility should be located in order to minimize the load-distance score. c. What is the rectilinear load-distance score for the daily deliveries based on the location found by the center of gravity method in part b? d. Based on rectilinear distances, what is the distance from the location found by the center of gravity method to the market that is furthest away from it?
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