Solve this problem by graphing the solution region and finding all the corner points. All answers should be accurate to at least 2 decimal places.

Maximize P = 3x + 2y subject to the constraints: 3x + 4y  32 x + y  11 5x + 3y  35 x  0 , y  0 

(a) The corner point of the solution region that is farthest toward the top of your picture (greatest y-coordinate) is the corner point where x =and y =. For this corner point the value of P =.

(b) The lowest corner point (smallest y-coordinate) is the corner point where x =and y =. At this point P =.

(c) The corner point that maximizes the value of P is the corner point where x =and y =, and here P =.

(d) Altogether there arecorner points for the solution region.