Question 1 Consider the following problem. 10 points Maximize Z = 2x; + 7x2 - 3x). subject to x + 3x2 + 4x3 = 30 x + 4x2 X; 10 and 20. X220, X3 20. Using slack variables x, and xg for the respective constraints, the simplex method yields the following final set of equations: (0) (1) (2) Z + X2 + X3 + 2rs = 20 x2 + 5x3 + x - x3 = 20 x + 4x2 - x + Is = 10. (a) Use sensitivity analysis to determine the allowable range for (b) Use sensitivity analysis to determine the allowable range for C3