The figure shows a contour graph for a function f in blue with a constraint func

Question

The figure shows a contour graph for a function f in blue with a constraint function g = 2 in black. (a) Ignoring the constraint g = 2, locate the optimal point of f and, if one exists, classify it as a relative maximum point or a relative minimum point. (If an answer does not exist, enter DNE.) (k, h, f(k, h)) = (0, 0, 0) (b) Estimate any optimal points for the system {optimize f subject to g = 2. Classify each constrained optimal point as a maximum or a minimum. (Order your answers from smallest to largest k.) (k, h, f(k, h)) = (-1, 1, 2) (k, h, f(k, h)) = (1, 1, 2)

Explanation / Answer

For the part (a), if we ignore the constraint g=2, we will have an unbounded function f. Hence, function f won't have any optimal point. Therefore, answer to part (a) is DNE.

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