Optimization problem, (a) Consider f (x, y) = x + 2y. Find maxf (x, y) subject to the constraints x + y ≤2, x + 3y ≤3, x ≥0, y ≥0. (b) Sketch the set of feasible solutions. (c) Let M = max f (x, y) be your answer to the question (a). Sketch the line f (x, y) = M on the same picture with the set of feasible solutions.

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