Consider the following LP formulation and corresponding output to answer$$FOUR$$questions:

$$Max $2$X $+3$Y

$$S$.$T$.4$X $+2$Y$<=18$Constraint $1$

$2$X $+6$Y$<=12$ Constraint $2$

$$X $+2$Y$<=20$Constraint $3$

$$X$,$ Y$>=0$

Q: If the$$objective function changes to

Max $2$X$+4$Y$,$

then the optimal values of X and Y will$$

Group of answer choices

decrease

remain the same

increase

cannot be determined by the information provided