$43-6.$ Consider the following problem. Maximize $7=5$x$1+34+48.$ subject to $241+24$ xi$<2034+0+2$m$<30$ and x$,20.720,20$ You are given the information that the nonzero variables in the optimal solution are x$,$ and ss$.($a$)$ Describe how you can use this information to adapt the simplex method to solve this problem in the minimum possible number ofiterations $($when you start from the usual initial BF solution$).$ Do nor actually perform any iterations. $($b$)$ Use the procedure developed in part $($an to solve this problem by hand. $($Do nor use your OR Courseware.$)$