Consider the following linear programming problem.

maximize f$($x$1,$ x$2)=2$x$1+$ x$2$

subject to x$12$x$2<=4$;

x$1+$ x$2<=10$;

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

$($i$)$ Express the standard form of this problem in table $($or tableau$)$ format, and hence

write down a basic feasible solution.

$($ii$)$ By applying the simplex algorithm to your basic feasible solution, complete the

linear programming problem.