Consider the following lineer programming problem.

minZ$=\frac{1}{2}{x}_1+x_2$

$\frac{\text{o}\text{y}\text{l}\text{e}ki}{2x_1+x_2}10$

$6x_1+8x_{2}48$

$x_{2}8$

$x_1,x_{2}0$

a$.$ For what values of $c_1$ does the current basis remain optimal?

b$.$ For what values of $b_2$ does the current basis remain optimal?