x$1+2$x$2+$ x$3<=$ b$13$x$1+2$x$3<=$ b$2$ x$1+4$x$2<=$ b$3$

x$1,$ x$2,$ x$3>=0$

Note that b$1,$ b$2$ and b$3$ are constants.

a$)(10$ pts$)$ What are the values of b$,$e$,$ and f$?$

b$)(10$ pts$)$ To make this simplex tableau optimal for this LP$,$ what are the conditions for a$,$ c and d$?$

c$)(10$ pts$)$ Is there degeneracy in this simplex tableau? Why?

d$)(50$ pts$)$ What are the values of b$1,$ b$2$ and b$3?$