For the following problem (note this is slightly different than problem 3(a)) Maximize 16x1+ 18X2 Subject to X:+ X2 s 3500 1.2x + 1.5x s 4800 X1+ X22 1400 X2 1000 X1 X220 The last iteration of the simplex for the primal problem generated the following tableau: es 18 20/3 10 O O OL 0 105 0 RHS 60,000 2100 1000 1500 2000 0 10/ 3 - 10/3 10/3 0 0 O 0 0 a) Use the tableau to identify the optimal primal and dual basis (which variables are basic and non-basic) b) Solve for the optimal variables (including and slack/excess variables in the dual); note, you have all the information you need to do this from the table