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A square park is modeled by the region 0≤x≤8 and 0≤y≤8 (all distances in meters).
There are three refreshment kiosks.
Kiosk A is at the point (2,6).
Kiosk B is at the point (2,b).
Kiosk C is at the point (6,6).
A Voronoi diagram of the park's kiosks is shown below:
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Every visitor is served by the nearest kiosk.
Show that V has coordinates (4,5).
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Determine the value of b.
Determine the fraction of the park served by Kiosk A.
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