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How to evaluate the intersections of the restriction functions

asked 2014-07-15 20:06:16 -0600

updated 2014-07-15 20:11:46 -0600

This is in reference to the Optimization Homework that is due tomorrow. I know that Dr. McClure made several references to considering the intersection points of the functions that serve as our restrictions. I know how to find the intersection points, but I am drawing a blank on how to "consider" them for extrema. What I have done so far is to use the intersection points in calculating the discriminant, but I don't know if that is what I am supposed to do. Any help would be great! Thanks...

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answered 2014-07-15 20:48:00 -0600

Justin gravatar image

Without giving too much away, I think it might be beneficial if you set the two constraint curves equal to each other. If you do that, you can find the points that they intersect at and plug them back into $f$. Compare that function value to some other extrema that you found.

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answered 2014-07-15 22:57:06 -0600

SpaceManSpiff gravatar image

To add to that, consider where the intersections are located relative to the contours.

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Asked: 2014-07-15 20:06:16 -0600

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Last updated: Jul 15 '14