I NEED REAL HELP PLEASE, NOT AI, I HAVE AN AI CHECKER AND WILL KNOW WHEN AI IS USED, AND WILL THEN REPORT YOUR ACCOUNT FOR USING AI, SO PLEASE IF YOU DO NOT KNOW THE ANSWER, SKIP THE QUESTION

OPTIMIZATION:

1. Given the following problem: a. Write this LP with all its slack/surplus variables. Solve this LP (you can use a solver) and list the values of all variables (including slack/surplus variables) b. What is the dual price associated with each constraint? Do not give as decimals - give the exact fractions. c. Write its dual, showing all slack/surplus variables. d. List all the variables from the primal and their corresponding variables from the dual. e. Find the optimal solution to the dual using the optimal solution from (a). Do not use the solver for the dual. You must explain how you obtained your solution to the dual. Maximize z = 9x; + 14x, + Tx; Subject to: 2xy +x; +4x;