Please show full detailed steps not excel or any other programs.

Problem 3) 10 marks Consider the following Problem |Z = 2x - x2 + x3, Maximize Subject to 3x - 2x + 2x, s 15 - X + x2 + x = 3 - x + x = 4 x = 0, X, 20, X = 0, If we let x4, x5, and x6 be the slack variables for the respective constraints, the simplex method yields the following final set of equations: (0) Z+2x + x + x = 18 (1) X, +5X + + x4 +3x = 24 (2) 3x2 + x3 + x6 = 7 (3) X +4x2 + xy + 2x = 21 Now you are to conduct sensitivity analysis by investigating the following change in the original model. Use the sensitivity analysis procedure to revise this set of equations (in tableau form) and convert it to proper form from Gaussian elimination for identifying and evaluating the current basic solution. Then test this solution for feasibility and for optimality. If either test fails, reoptimize to find a new optimal solution. Change the coefficient of in the objective function to 4 = 4 3