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We are interested in determining the location (x, y) of an ambulance station. There are four points of emergency, located at (4, 2), (8, 5), (11, 8) and (13, 2). The distance from these points to the nearest hospital are 1, 2, 3, and 4, respectively. Find the location of the ambulance station using the minimax criterion. (a) Find the optimal location. (b) Draw the contour through the point (9.6) and indicate the value of the objective function.

We are interested in determining the location (x, y) of an ambulance station. There are four points of emergency, located at (4, 2), (8, 5), (11, 8) and (13, 2). The distance from these points to the nearest hospital are 1, 2, 3, and 4, respectively. Find the location of the ambulance station using the minimax criterion. (a) Find the optimal location. (b) Draw the contour through the point (9.6) and indicate the value of the objective function.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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11 We are interested in determining the location (x, y) of an ambulance station. There are four points of emergency, located at (4, 2), (8, 5), (11, 8) and (13, 2). The distance from these points to the nearest hospital are 1, 2, 3, and 4, respectively. Find the location of the ambulance station using the minimax criterion. (a) Find the optimal location. (b) Draw the contour through the point (9,6) and indicate the value of the objective function.
Transcribed Image Text:11 We are interested in determining the location (x, y) of an ambulance station. There are four points of emergency, located at (4, 2), (8, 5), (11, 8) and (13, 2). The distance from these points to the nearest hospital are 1, 2, 3, and 4, respectively. Find the location of the ambulance station using the minimax criterion. (a) Find the optimal location. (b) Draw the contour through the point (9,6) and indicate the value of the objective function.
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