SHOW WORK PLEASE

For Exercises 6 to 10, please show your work when asked. 6. [20 points] Use TORA to solve the following LP using the Simplex Method: MaximizesubjecttoandZ=x1+2x2+3x32x1+2x2+8x36003x1+2x2+x3400x1+3x2+2x3600x10,x20,x30 Fill in the following information as you work through the simpleyiterations: Entering variable: X3 Why? bc it's the most negative cor leas Entering variable: X2 Why? it's the most negotive Leaving variable: 54 Why? (show work) 25700=3001.75325185. Iteration 3: Optimal solution: (x1,x2,x3,sx4,sx5,sx6)=(0,180,30,2110, z=450 How do you know from the tableau that this basic feasible solution is optimal? x1,x2,x3 are = to 0 . TORA states that an alternative optimal solution to this problem exists. Find it. Entering variable: x1 Leaving variable: Sx5 Write the alternative optimal solution (round values to two decimal places) and the optimal Z value here: (x1,x2,x3,sx4,sx5,sx6)=12,200,0,800,5,z=5Q0 Why might one of these two optimal solutions be preferred over the other