Question: 1. (21 marks) Let A be a constant. Consider the following LP problem. Max 2Ax + Ay s.t. constraint 1 constraint 2 4x + 3y

1. (21 marks) Let A be a constant. Consider the following

1. (21 marks) Let A be a constant. Consider the following LP problem. Max 2Ax + Ay s.t. constraint 1 constraint 2 4x + 3y = 36 2x - 5y = 8 x + 2y = 16 constraint 3 constraint 4 x + y 25 x, y > 0 (a) Draw the graph of the feasible region. Be as detailed and accurate as possible. (b) Which extreme point is the optimal solution? Justify your answer. (c) Determine the coordinates of the optimal solution by solving system of linear equations. Show steps and express the answers as fractions. (d) Determine the value of A if the optimal solution value = 20. Express the answer as a fraction

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