PLEASE DO NOT USE Al PLEASE GIVE EXPLANATION if ai is used i will report the account OPTIMIZATION: 2. For the following LP: a. Write the LP showing all variables (including slack/surplus variables) and solve the LP. Give the final value for all variables and the terminal tableau (you can use a solver). b. Suppose c,, the first constant in the objective function, changes from 2 to 2 + h,. How does the final tableau change? Is it terminal? c. Suppose b,, the constant in the second constraint, changes from 15 to 15 + h,. How does the final tableau change? Is it terminal? d. Suppose that , changes from 4 to 4 + k,; and changes from 3 to 3 + k,. What conditions on k, and k, will guarantee that the new tableau is terminal? What is the new maximum in terms of k, and k, assuming that k; and k, satisfy these conditions? Maximize z = 2x, 4x, + 3x3 Subject to: 5x; 6x; +4x3