Solve the linear programming problem by the method of corners. Maximize $P = 5x - 6y$ subject to $x + 3y \le 15$ $4x + y \le 16$ $x \ge 0, y \ge 0$ The maximum is $P = $ at $(x, y) = $
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Graph the constraints: x + 3y < 15 can be rewritten as y < (-1/3)x + 5, which is a line with a y-intercept of 5 and a slope of -1/3. 4x + y < 16 can be rewritten as y < -4x + 16, which is a line with a y-intercept of 16 and a slope of -4. x ≥ 0 and y ≥ 0 represent Show more…
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