A machine shop has five machines, located at (3, 3), (3, 7), (8, 4), (12, 3),...
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A machine shop has five machines, located at (3, 3), (3, 7), (8, 4), (12, 3), and (14, 6), respectively. A new machine is to be located in the shop with the following expected numbers of loads per hour transported to the existing machines: 1/8, 1/8, 1/4, 1, and 1/6. Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. a. Find the coordinates of the optimal location of the new machine to minimize the weighted sum of the rectilinear distances from the new machine to the existing machines. Find the coordinates of the optimal location of the new machine to minimize the weighted sum of the squared straight-line distances from the new machine to the existing machines. b. A machine shop has five machines, located at (3, 3), (3, 7), (8, 4), (12, 3), and (14, 6), respectively. A new machine is to be located in the shop with the following expected numbers of loads per hour transported to the existing machines: 1/8, 1/8, 1/4, 1, and 1/6. Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. a. Find the coordinates of the optimal location of the new machine to minimize the weighted sum of the rectilinear distances from the new machine to the existing machines. Find the coordinates of the optimal location of the new machine to minimize the weighted sum of the squared straight-line distances from the new machine to the existing machines. b.
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Related Book For
Statistics For Business And Economics
ISBN: 9780132745659
8th Edition
Authors: Paul Newbold, William Carlson, Betty Thorne
Posted Date:
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