If I solve an LP problem for decision variables X$1$ and X$2$ given that:

Max$($X$1+$X$2)$

X$1<=10\mathrm{.}3$

X$2<=5\mathrm{.}4$

X$1,$X$2>0$

and the result $($not surprisingly$)$ is:

X$1=10\mathrm{.}3$

X$2=5\mathrm{.}4$

Or $10\mathrm{.}3+5\mathrm{.}4=15\mathrm{.}7$

If I add the constraint to the model that X$1$ and X$2$ must be integers, would I still be able to have a feasible solution from the LP model?

Group of answer choicesIf I solve an LP problem for decision variables X$1$ and X$2$ given that:

Max$($X$1+$X$2)$

X$1<=10\mathrm{.}3$

X$2<=5\mathrm{.}4$

X$1,$X$2>0$

and the result $($not surprisingly$)$ is:

X$1=10\mathrm{.}3$

X$2=5\mathrm{.}4$

Or $10\mathrm{.}3+5\mathrm{.}4=15\mathrm{.}7$

If I add the constraint to the model that X$1$ and X$2$ must be integers, would I still be able to have a feasible solution from the LP model?

Group of answer choices