2.1 Consider the following System of equations: 3x + 2y +z = 3 2x+y+z=0 6x+2y+4z = 6 a. Apply Gaussian elimination method to reduce the system to triangular form. b. What do you observe from your answer in part (a) above? [5] [3] 2.2 Solve the following linear programming graphically Minimize: z = 200x + 500y Subject to the constraints: x + 2y 10 3x + 4y 24 x 0; y 0 [5]