Based on the models shown in $1$ and $2,$ which of them has a better optimal solution? Explain.

MaxZ$=2x_1+5x_2$

$St.x_1+x_{2}2$

$x_1+4x_{2}4$

$x_1,x_{2}0$

$Max{Z}^{\text{'}}=2x_1+5x_2$

$St.x_1+x_{2}2$

$x_1+4x_{2}4$

$x_1,x_{2}in{Z}^{+}$