Joe's Window Washing is searching for an ideal location to support its Houston customers. It washes windows in three neighborhoods. Plotting the center of each neighborhood on an X-Y Grid yielded the following results: Neighborhood 1: X-5 Y=4 POPULATION - 10 Neighborhood 2: X= 6 Y 3 POPULATION 20 Neighborhood 3: X-1 Y-2 POPULATION 30 Using the Weighted Center of Gravity Method, what are the X-Y coordinates for the optimal location? Weighted X coordinate = X* Weighted y coordinate Y' = OX-3.3333 Y= 2.6667 OX-4.9444 Y-3,5972 OX-11.7778 Y-8.0556 X-0.6667 Y-0.6667 OX-4.0000 Y-3.0000 ΣW.X. Sw F-1 SwY Swi - where: (X, Y;) = position of demand point i W;= weighting factor for demand point i
Joe's Window Washing is searching for an ideal location to support its Houston customers. It washes windows in three neighborhoods. Plotting the center of each neighborhood on an X-Y Grid yielded the following results: Neighborhood 1: X-5 Y=4 POPULATION - 10 Neighborhood 2: X= 6 Y 3 POPULATION 20 Neighborhood 3: X-1 Y-2 POPULATION 30 Using the Weighted Center of Gravity Method, what are the X-Y coordinates for the optimal location? Weighted X coordinate = X* Weighted y coordinate Y' = OX-3.3333 Y= 2.6667 OX-4.9444 Y-3,5972 OX-11.7778 Y-8.0556 X-0.6667 Y-0.6667 OX-4.0000 Y-3.0000 ΣW.X. Sw F-1 SwY Swi - where: (X, Y;) = position of demand point i W;= weighting factor for demand point i
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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Transcribed Image Text:Joe's Window Washing is searching for an ideal location to support its Houston customers. It washes windows in three
neighborhoods. Plotting the center of each neighborhood on an X-Y Grid yielded the following results:
Neighborhood 1: X= 5 Y=4
POPULATION = 10
Neighborhood 2: X= 6 Y-3
POPULATION - 20
Neighborhood 3: X-1 Y-2
POPULATION = 30
Using the Weighted Center of Gravity Method, what are the X-Y coordinates for the optimal location?
Weighted X coordinate = X* =
Weighted y coordinate = y* =
OX-3.3333 Y-2.6667
OX-4.9444 Y-3,5972
OX-11.7778 Y-8.0556
O X 0.6667 Y-0.6667
X-4.0000 Y-3.0000
Σw.x,
i-1
Σω
P-1
ΣWY,
Σω
im
where:
(X, Y;) = position of demand point i
W;= weighting factor for demand point i
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