note clearly what is a b c d ( easily understand for me)

4. Consider the following problem: (P) maximize Z = 2 x1 + 3 x2 + 6 X3 s.t. X1 + 2 x2 + 3 x3 = 10 Xi - 2 x2 + 2 X3 = 6 X20 a) Write the dual problem and verify that (9/5, 3/10) is a feasible dual solution. b) Using the information in part a) to derive an optimal solution to both primal and dual problems. c) Solve P by the simplex method. At each iteration, identify dual variables and show which dual constraints are violated. d) Verify that at termination, feasible solutions of both problems are at hand, with equal objectives, and with complementary slackness