$($Linear programming$)$ Consider the linear programming problem formulated as follows:

max

$($objective function$)$

subject to

$($constraint $1)$

$($constraint $2)$

$($constraint $3)$

Which of the following statements are false? $($There can be multiple false statements.$)$

Group of answer choices

The feasible value of x can be at most $3.$

$($x$,$ y$)=(0,0)$ has the smallest objective function value among feasible solutions.

$($x$,$ y$)=(3,4)$ has the largest objective function value among feasible solutions.

The feasible value of y can be at most $4.$

$($x$,$ y$)=(1,0\mathrm{.}5)$ is feasible.