Existing facility #1 has weight 2 and coordinate (9, 10). Existing facility #2 has weight 10 and coordinate (6, 8). Existing facility #3 has weight 8 and coordinate (-3, -3). Existing facility #4 has weight 9 and coordinate (5, 2). Existing facility #5 has weight 3 and coordinate (-7, -1). Existing facility #6 has weight 7 and coordinate (-2, -6). Existing facility #7 has weight 4 and coordinate (-5, 0). Existing facility #8 has weight 3 and coordinate (4, -7).   What is the optimal minisum rectilinear x-coordinate? What is the optimal minisum rectilinear y-coordinate? What is the optimal minisum rectilinear objective function value?

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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Given the following existing facilities data:

Existing facility #1 has weight 2 and coordinate (9, 10).

Existing facility #2 has weight 10 and coordinate (6, 8).

Existing facility #3 has weight 8 and coordinate (-3, -3).

Existing facility #4 has weight 9 and coordinate (5, 2).

Existing facility #5 has weight 3 and coordinate (-7, -1).

Existing facility #6 has weight 7 and coordinate (-2, -6).

Existing facility #7 has weight 4 and coordinate (-5, 0).

Existing facility #8 has weight 3 and coordinate (4, -7).

 

What is the optimal minisum rectilinear x-coordinate?

What is the optimal minisum rectilinear y-coordinate?

What is the optimal minisum rectilinear objective function value?

 

 

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