Consider the linear program below and answer the following. LO $2,4,6$ Min A $12$B s$.$t$.$A $14$B # $212$A $1$ B $ $73$A $11\mathrm{.}5$B # $2122$A $16$B $ $0$ A$,$ B $ $0$a$.$ Find the optimal solution using the graphical solution procedure and the value of the objective function.b$.$ Determine the amount of slack or surplus for each constraint. c$.$ Suppose the objective function is changed to max $5$A $+2$B$.$ Find the optimal solu$-$tion and the value of the objective function.