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# Minimization and contour point

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Consider the minimization of *see attached for equation*
subject to the constraint of *see attached for equation*

(a) Graph the contour point of with y-axis
and x-axis between -2 and 6.(on my paper there is a dot (between point (3,3)
Estimate where extrema values may occur and compute the function values
corresponding to these extrema.

(b) Solve the problem in part (a) with the aid Lagrange multipliers. You may
have to solve the equations numerically. Compare your answers with those in
the part (a).

https://brainmass.com/math/optimization/minimization-contour-point-22507

#### Solution Preview

Consider the minimization of
subject to the constraint of

(a) Graph the contour point of with y-axis
and x-axis between -2 and 6.(on my paper there is a dot (between point (3,3)
Estimate where extrema values may occur and compute the function values
corresponding to these extrema.

Solution. We used Maple and got the following graph

where the green curves represent the contour lines of f(x,y) and from left to right, its value increases. The red one is the circle defined by

Since we need to find the minimization of f(x,y) under a constraint . So, by the above graph, we can estimate the ...

#### Solution Summary

This set looks at minimization, contour points, and Lagrange multipliers.

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