For the following LP$,$ identify three alternative optimal basic solutions, and then write a general expression for all the nonbasic alternative optima comprising these three basis solutions: maximize subject to $2=$ x$1+2$x$2+3$x$3$ x$1+2$x$2+3$x$3<=10$ x$1+$ x$2<=5$ x$1<=1$ X $1,$ X$2,$ X$3>=0.$ Note: Although the problem has more than three alternative basic solution optima, you are only required to identify three of them.