Consider the following LP problem:

The following tableau is neither an initial nor a final tableau. It is an intermediate tableau. 

a) Complete the intermediate tableau without using the PSA. Explain your work.

b) After completing the above intermediate tableau, carry out one iteration of the appropriate simplex algorithm and obtain a final tableau.

c) Exhibit the optimal primal and dual solutions.

d) Show the optimal primal and dual bases.

e) Verify the complementary slackness conditions.

max TR=3x1 +4x2+5x32x4 sub ect to 3x1+2x2-4x3 + 3x4 12 -2x1+2+4x3 + x416 ; 0, j=1,...,4.