2. Solve the following mathematical linear programming problem. Show how your answer was obtained by including a CLEAR sketch of the feasible set, the coordinates of its vertices, and the value of the objective function at each vertex, as well as stating the final answer. Maximize the objective function 2x – 3y subject to the constraints < 32 x + 2y 3x + 2y > 24 x < 24 x >0 y 2 0

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