Two constrained optimization problems

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Consider the following two constrained optimization problems: Problem 1: max/min xy subject to x^2 + y^2 = 50 Problem 2: max/min xy subject to 2-x-2y = 0 i. Using the Lagrange approach find all critical points and the value of the Lagrange multiplier associated with each of these. ii. Identify whether each critical value is a maximum or a minimum.

Reference no: EM131110403

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