(1) 20% Solve the linear program below as follows: (a) Solve the dual problem graphically. (b) Use the solution to the dual problem to determine which variables in the primal problem are zero in the optimal primal solution. (c) Solve for the optimal basic variables in the primal, using the primal equations. Primal Maximize 4x2 + 3x3 + 2x4 8x5, subject to: 3x1 + x2 + 2x3 + x4 = 3, X1 x2 + 14 - 15 > 2, x; > 0 (j = 1, 2, 3, 4, 5)