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Chapter 12: Q. 4 (page 985)

Outline a method for optimizing a function of two variables,z=fx,y.

Short Answer

Expert verified

First find the critical point. Next, find the value of the function at the critical point may or may not be an extreme value.

Step by step solution

01

Step 1. Given information

We need to outline a method for optimizing a function of two variables,z=f(x,y).

02

Step 2. Explanation for the method which optimize a function of two variables:

To optimize a function of the two variables z=fx,ythat is to find out the maxima and the minima of z=fx,y.First find the gradient of fx,yand equate to zero, this gives critical points. The value of the function z=fx,yat the critical point is then computed. The value of the function at the critical point may or may not be an extreme value.

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