33. Given below are the objective function, the constraints, and the final simplex tableau for a linear programming product-mix problem:

Objective function:

(a) Write the optimal product-mix and the profit contribution shown by the above solution.

(b) Is this solution feasible? Why? Give briefreason (s).

(c) Does the problem have any alternative optimal solution? Ifso, show one such solution.

d) Indicate whether the solution given in the table is degenerate. If yes, which variable is degenerated?

(e) If the company produces six units of x1, how many units of x2 and x3 shall have to be reduced, ifany.

Maximise Constraints: Z=2x+5x2+8x3 6x1 +8x2 + 4x3 96 2x1 + x2 + 2x3 40 5x + 3x2+2x360 X1, X2, X30 (hours, department I) (hours, department II) (hours, department III)