PLEASE DO NOT USE AI

PLEASE GIVE EXPLANATION

if ai is used i will report the account

OPTIMIZATION:

5. The following tableau is an optimal LP tableau where x,, X, X, were the original slack variables. Show your work for all the questions below. Basic X5 Xy X3 X X x, RHS z 0 19 0 0 0 2 12 X1 1 -9 0 1 0 -1 5 Xsg 0 -65 0 3 1 -7 24 X3 0 19 1 -1 0 2 1 a. Use matrix multiplications to reconstruct the original LP and then compute the optimum objective value. b. Suppose the constraint x; + 10x, + x3