Consider the following LP problem

a) Complete the associated optimal tableau listed below without using the PSA. Explain your work.

b) Exhibit the entire primal optimal and dual optimal solutions.

c) Exhibit the optimal primal basis.

d) Exhibit the optimal dual basis.

e) By how much should the price of commodity 3 increase in order to become a profitable activity? What should be the new price?

f) Verify that the complementarity slackness conditions hold at the optimal solution.

max Z=10x1 +15x2-x3+8x4 sub ect to 13x2 x3 + 2x4 12 2x1 + x2+2x3 + 48 20. j=1,..., 4.