$4-17.$ Estimate a range for the optimal objective value for the following LPs:

$*($a$)$ Minimize $z=5x_1+2x_2$

subject to

$1$ Max$=3y_1+5y_2$

$y_1+2y_{2}5$

$-y_1+3y_{2}2$

$x_1-x_{2}3$

$2x_1+3x_{2}5$

$x_1,x_{2}0$

$x_1-x_2-s_1=3$

$2x_1+3x_2-s_2=5$

$x_1*x_2,s_1,s_2$