310,134 views
12 votes
12 votes
Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.

f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______

User Dmitry Matveev
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

Following are the responses to the given question:

Explanation:

Given:


image

let
image

using the lagrange multiplies:


image

From equation (i) and (ii)\\\\


image

From equation 3:


image

User Maxime Morin
by
3.7k points
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