$[11\mathrm{.}39]$ Solve the following problem by the two linear fractional programming

algorithms discussed in Section $11\mathrm{.}4$:

Minimize $\frac{-3x_1+2x_2+4x_3+3}{2x_1+x_2+3x_3+2}$

subject $to3x_1+2x_2+4x_{3}12$

$2x_1+x_{2}2$

$x_1+3x_{3}8$

$x_1,x_2,x_{3}0.$