$\max Z = 6x_1 + 7x_2$
Constraints:
$-2x_1 + 2x_2 \le 3\\ 7x_1 + 3x_2 \le 22$
$x_1,x_2 \ge 0$ and $x_1, x_2 \in \Bbb Z$
How to solve this problem with relaxation LP by graphical method?
2026-03-25 14:19:20.1774448360
Exercise LP Relaxation
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https://www.desmos.com/calculator/dtzutovcd8
$x_1 =3$, $x_2 =4$ doesn't satisfy one of your equations ($7x+3y \le 22)$.
The only integer values that satisfy the constraints are: $(x_1,x_2)=\{(0,0),(0,1),(1,0),(1,1),(1,2), (2,0),(2,1),(2,2),(3,0)\}$