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 thefollowing expected numbers of loads per hour transported to the existingmachines: , 1/8 1/8 1/4 1 1/6, and . Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. Find the coordinates of the optimal locationof the new machine to minimize the weighted sum of the rectilinear distances fromthe new machine to the existing machines
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 thefollowing expected numbers of loads per hour transported to the existingmachines: , 1/8 1/8 1/4 1 1/6, and . Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. Find the coordinates of the optimal locationof the new machine to minimize the weighted sum of the rectilinear distances fromthe new machine to the existing machines
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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 1/6, and . Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. 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
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