Question: 1. Consider the following linear programming (LP) problem: MAX 2 X1 + 5 X2 ST 6 X1 +5 X2 560 2 X1 + 3 X2

1. Consider the following linear programming (LP) problem: MAX 2 X1 + 5 X2 ST 6 X1 +5 X2 560 2 X1 + 3 X2 s 24 3 X1 + 6 X2 3 48 X1, X220 a. By putting X, on the horizontal axis and X, on the vertical axis, sketch the feasible region for this model. PLOT all the boundary lines, SHADE the feasible region and LABEL all the corner points (with the X, and X, coordinates) of the feasible region on the graph. (14 marks) b. With the graph in part (a), solve the model graphically using level curves. What is the optimal solution and the corresponding objective function value? (6 marks)

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