Question: (1) (20 points) Consider the following linear programming problem: Maximize the objective function Z= 3.21 +22 subject to the constraints X1 +2:22 0, x2 >

(1) (20 points) Consider the following linear

(1) (20 points) Consider the following linear programming problem: Maximize the objective function Z= 3.21 +22 subject to the constraints X1 +2:22 0, x2 > 0. (a) Sketch by hand the feasible region. (b) Compute all corner point feasible (CPF) solutions for this region. (c) Use the graphical method or the minimax theorem to maximize the objective function in the feasible region. (d) Use Maple to draw the feasible region. (e) Open the Optimization package and use the Maple command Maxi- mize to solve the linear programming

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