Question: Consider the following linear programming problem: Maximize Profit = 50X + 70Y Subject to the constraints: -20X + 20Y 600 X 0 Consider the graph:

Consider the following linear programming problem: Maximize Profit = 50X + 70Y Subject to the constraints: -20X + 20Y 600 X 0 Consider the graph: -20 -15 -10 b 5 a d 10 15 20 (Remark: x-axis is horizontal and y-axis is vertical) (Remark: each square = 1 unit) Answer the following about the corner point method: For the point a, X and Y = and the profit For the point b. X= and Y and the profit For the point c, X = and Y and the profit For the point d. X = and Y= and the profit The maximum profit occurs at the point and the value of the profit is The slack for the constraint -20% +20Y 3 40 regarding the optimum solution is The surplus for the constraint 120X +20Y > 600 regarding the optimum solution is The slack for the constraint X

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