The figure shows a contour graph for a function fin blue with a constraint function g = 2 in black. h -2 -1 1 (k, h, f(k, h)) = contours f(k, h) g(k, h) = 2 0 1 2 3 k (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)) = Select Classification ✓ (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)) = Select Classification ✓ Select Classification ✓

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