Q$-1)(50$ points$)$Work through the simplex method $($in algebraic form$)$ step by step to solve the followingproblem.Maximize Z $=4$x$1+3$x$2+6$x$3$subject to$3$x$1+$ x$2+3$x$3302$x$1+2$x$2+3$x$340$x$10,$ x$20,$ x$30.$