Use parametric linear programming to find the optimal solution for the following problem as a function of
, for 0
20.

Maximize Z(
)  (20  4
)x1  (30 3
)x2  5x3, subject to 3x1  3x2  x3 10 8x1  6x2  4x3 25 6x1  x2  x3 15 and x1
0, x2
0, x3
0.