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 30 8x1  6x2  4x3 75 6x1  x2  x3 45 and x1 0, x2 0, x3 0