Consider the following linear program.Max $34+2$B s$.$t$\mathrm{.}1$A $+1$B $10+1$B $221$A $+2$B $16$A$,$ B $0($a$)$ Use the graphical solution procedure to find the optimal solution.What is the value of the objective function at the optimal solution?at $($A$,$ B$)=($b$)$ Assume that the objective function coefficiend for A changes from $3$ to $5.$ Use the graphDoes the optimal solution change?The extreme point$--$Select$-..$ optimal. The value of the objecti$($c$)$Assume that the objective function coefficient for A remains $3,$ but the objective functic the new optimal solution.Does the optimal solution change?