Max $2$A $+2$B

s$.$t$.$

$1$A$+2$B $<=10$

$3$A$+1$B $<=12$

$2$A $+5$B $<=20$

A$,$B $>=0$

If the objective function coefficient to A changes from $2$ to $0\mathrm{.}5,$ does the optimal solution change?

No Yes