If the artificial variable technique of simplex method is used to solve the LP, then the Phase I LP problem is a. Minimize w1 subject to x + 2y + z-S1+w1 = 1, 5x 7y + 2z = 2, x>0, y 0,2 0,51 0,w1 2 0. O b. none of these. C Minimize w1 + w2 subject to x + 2y +z S1 + W1 = 1, 5x 7y + 2x + W2 = 2, x 20,7 2 0,2 0,51 0,w1 2 0,w2 2 0. d. Minimize w2 subject to x + 2y + z = 1, 5x 7y + 2z+w2 = 2, x = 0, y = 0,2 > 0,w2 > 0. e. Maximize w1 + W2 subject to x + 2y+z+w1 = 1, 5x 7y + 2z - S1 +w2 = 2, x > 0, y 0,2 > 0,81 2 0,w1 > 0,w2 > 0. Questions 25 and 26 are based on the following information: Consider the LP problem defined by Maximize 4x 12y + 32 subject to x + 2y + z 21 5x 7y + 2z = 2 x = 0, y 0,2 > 0. If the artificial variable technique of simplex method is used to solve the LP, then the number of additional variables required are a. none of these. b. 1 slack, 1 surplus and 1 artificial. C. 1 slack and 1 artificial. 1 surplus and 1 artificial. e. 1 surplus and 2 artificial