Problem 14-10A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locationsof the current plants with their coordinates and volume requirements are given in the following table:VOLUMECOORDINATES (x, y)299, 298380, 462478, 190PLANT LOCATION(PARTS PER YEAR)4,0006,0003,000PeoriaDecaturJolietUse the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)СхCy

X coordinates : 299 , 380 , 478 Y coordinates : 298 , 462 , 190

Answered: Use the centroid method to determine…

Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.) Сх Су

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Question

Problem 14-10
A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations
of the current plants with their coordinates and volume requirements are given in the following table:
VOLUME
COORDINATES (x, y)
299, 298
380, 462
478, 190
PLANT LOCATION
(PARTS PER YEAR)
4,000
6,000
3,000
Peoria
Decatur
Joliet
Use the centroid method to determine the best location for this new facility. (Round your answers to 1 decimal place.)
Сх
Cy

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