please answer number 3 in full

a value is 7

and b value is 2

3. Consider the following problem. Minimize Z = (a - 2)x: +3x2 +33. subject to 31 + 0x2 + bx3 > 2a 321 +232 > 36 and 2012 0,22 0,23 20. (1) Reformulate this problem to fit our standard form for a linear programming model presented in Sec. 3.2. (2) Using the Big M method, work through the simplex method step by step to solve the problem. (3) Compare the sequence of BF solutions obtained in part (2). Which of these solutions are feasible only for the artificial problem obtained by introducing artificial variables and which are actually feasible for the real