High School

Maximize [tex]Z = 10x_1 - 4x_2 + 7x_3[/tex], subject to the following constraints:

1. [tex]3x_1 - x_2 + 2x_3 \leq 25[/tex]
2. [tex]x_1 - 2x_2 + 3x_3 \leq 25[/tex]
3. [tex]5x_1 + x_2 + 2x_3 \leq 40[/tex]
4. [tex]x_1 + x_2 + x_3 \leq 90[/tex]
5. [tex]2x_1 - x_2 + x_3 \leq 20[/tex]