7. The BD restaurant chain purchases materials from four different food suppliers. The company wants to construct a new central distribution center to process and package the materials before shipping them to their various restaurants. The suppliers transport items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the four suppliers and the annual number of trailer loads that will be transported to the distribution center are shown in the following table (distance in miles). Using the center-of-gravity method, determine a possible location for the distribution center. A B с D X 200 100 250 500 Y 200 500 600 300 Load 75 105 135 60 BD wants to evaluate three different sites it has identified for its new distribution center relative to the four suppliers identified. The coordinates of the three sites under consideration are as follows: Site 1: x₁ = 360, y₁ = 180 Site 2: x₂ = 420, y₂ = 450 Site 3: X3 = 250, y3 = 400

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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7. The BD restaurant chain purchases materials from four different food suppliers. The
company wants to construct a new central distribution center to process and package
the materials before shipping them to their various restaurants. The suppliers transport
items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the
four suppliers and the annual number of trailer loads that will be transported to the
distribution center are shown in the following table (distance in miles). Using the
center-of-gravity method, determine a possible location for the distribution center.
A
B
с
D
X
Y
200
200
100
500
250 600
500 300
Load
75
105
135
60
BD wants to evaluate three different sites it has identified for its new distribution center
relative to the four suppliers identified. The coordinates of the three sites under
consideration are as follows:
Site 1: x1 = 360, y₁ = 180
Site 2: X2 = 420, y2 = 450
Site 3: X3 =
250, y3 = 400
Transcribed Image Text:7. The BD restaurant chain purchases materials from four different food suppliers. The company wants to construct a new central distribution center to process and package the materials before shipping them to their various restaurants. The suppliers transport items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the four suppliers and the annual number of trailer loads that will be transported to the distribution center are shown in the following table (distance in miles). Using the center-of-gravity method, determine a possible location for the distribution center. A B с D X Y 200 200 100 500 250 600 500 300 Load 75 105 135 60 BD wants to evaluate three different sites it has identified for its new distribution center relative to the four suppliers identified. The coordinates of the three sites under consideration are as follows: Site 1: x1 = 360, y₁ = 180 Site 2: X2 = 420, y2 = 450 Site 3: X3 = 250, y3 = 400
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