[6 points] Consider the LPP where the objective function is P = 4x + y subject to the four constraints: x + 2y < 30 4x + 3y < 60 x – y < 30 X, y > 0. The maximum value of P and the point where it occurs is (C) 60, (15,0) (D) 120, (30,0) (A) 15, (0, 15) (B) 36, (6, 12) (E) none of (A) - (D) [6 points) Consider the LPP where the objective function is Z = y - x subject to the four constraints: 2.C + y > 30 2x – y > -30 x > 20. y > 0 The minimum value of Z and the point where it occurs is (A) –20, (20,0) (B) 50, (20,70) (C) 30, (0,30) (D) none of (A) - (C) [5 points) For the same LPP as in Question 2, the maximum value of Z and the point where it occurs is (A) –20, (20,0) (B) 50, (20,70) (C) 30, (0, 30) (D) none of (A) - (C)