Questions A$,$ B$,$ and C$.$ Please show work Consider the following linear program: Max $1$A$+2$B s$.$t$.1$A$<=5(<=$ means less than or equal to $)1$B$<=52$A$+2$B$=12$ A$,$ B$>=0(>=$ means greater than or equal to$)$ a$.$ Show the feasible region. $1$e: Class: Date: Week $2-$ Homework $-$ Chap $7$ Questions Document b$.$ What are the extreme points of the feasible region? Show the values of A & B at extreme points. c$.$ Find the optimal solution using the graphical procedure.