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(ii) Suppose an individual's health status Z (measured on a scale of 0 to 10) i function of two health enhancing drugs x and y (measured as daily dosages) as follows. Z -x2+ 2x-y2 + 4y+ 5 (a) Find fx, fy, fxy, fyx (b) Show that the function has only one stationary point at x = 1 and y = 2 and it is a maximum. (c) Estimate the value of the health status Z at the point derived at (b).

(ii) Suppose an individual's health status Z (measured on a scale of 0 to 10) i function of two health enhancing drugs x and y (measured as daily dosages) as follows. Z -x2+ 2x-y2 + 4y+ 5 (a) Find fx, fy, fxy, fyx (b) Show that the function has only one stationary point at x = 1 and y = 2 and it is a maximum. (c) Estimate the value of the health status Z at the point derived at (b).

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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(ii) Suppose an individual's health status Z (measured on a scale of 0 to 10 function of two health enhancing drugs x and y (measured as daily dosages) as follows. Z = - x2+ 2x - y2+ 4y+ 5 (a) Find fx, fy, fxy, fyx (b) Show that the function has only one stationary point at x 1 and y = 2 and it is a maximum. (c) Estimate the value of the health status Z at the point derived at (b).
Transcribed Image Text:(ii) Suppose an individual's health status Z (measured on a scale of 0 to 10 function of two health enhancing drugs x and y (measured as daily dosages) as follows. Z = - x2+ 2x - y2+ 4y+ 5 (a) Find fx, fy, fxy, fyx (b) Show that the function has only one stationary point at x 1 and y = 2 and it is a maximum. (c) Estimate the value of the health status Z at the point derived at (b).
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