Given the following LP: max z $=3$x$1+2$x$2+2$x$3$ s$.$t$.$ x$1+2$x$2+$ x$3243$x$1+$ x$2+2$x$3222$x$1+2$x$218$ x$1,$ x$2,$ x$30($a$)$ Write the standard form. $($b$)$ Solve it using simplex method $($show iterations with Excel formulas$).($c$)$ Which constraints are binding and which are not?