Question: Consider the following linear programming model: MAX 3X+SY 120 St 2x+Y 100 X+Y Cm 80 100 Y > 10 X >= 0 Feasible Region and

Consider the following linear programming model:

Consider the following linear programming model: MAX 3X+SY 120 St 2x+Y 100 X+Y Cm 80 100 Y > 10 X >= 0 Feasible Region and Corner Points 2x+Y-100 HO 60 40 X + Y = 80 20 Y = 10 60 20 100 On the graph above, a. Shade the feasible region. 10 pts b. Put a solid circle at each corner point of the feasible region. Label them A, B, Cetc in any order you wish. 10 pts c. For each of your corner points, indicate the (X,Y) values. If you must solve 2 equations in 2 unknowns, show your work below, else, no credit. 24 pts d . Given your enumeration of the corner points in part above, which corner point is optimal? What is the maximum objective function value associated with this optimal solution? You must show all work, else, no credit. 11 pts

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