MinZ$=2x_1+3x_2+0s_1+0s_2+M{a}_2+M{a}_3$

s$.$t$.$

$\frac{1}{2}{x}_1+\frac{1}{4}{x}_2+s_1=4$

$x_1+3x_2-s_2+a_2=20$

$x_1+x_2+a_3=10$

$x_1,x_2,s_1,s_2,a_2,a_{3}0$

$\backslash$table$[[$Iteration$,$Basic,z$,x_1,x_2,s_1,s_2,a_2,a_3,$STD$],[0,$z$,1,-2+2$M$,-3+4$M$,0,-$M $0,0,30$M$],[s_1,0,1/2,\frac{1}{4},1,00,0,4],[a_2,0,1,3,0,-11,0,20],[a_3,0,1,1,0,00,1,10],[$Iteration$,$Basic,z$,x_1,x_2,s_1,s_2,a_2,a_3,$STD$],[2,$z$,1,0,00,-1/2,(1-2$M$)/2,(3-2$M$)/2,25],[s_1,0,0,01,-1/8,1/8,-5/8,1/4],[x_2,0,0,10,-1/2,1/2,-1/2,5],[x_1,0,1,00,1/2,-1/2,3/2,5]]$

Find the range of values of $)$ and b $($Constraint $1)$ for which the foundation remains optimal.