Consider the following linear program:

Maximize $30$X $+10$Y

Subject to: $3$X $+$ Y $<=300$

X $+$ Y $<=200$

X $<=100$

Y $>=50$

X$,$Y $>=0$

What is the optimal solution?

Group of answer choices

$$3,200$

$$3,000$

$$3,400$

$$3,600$Consider the following linear program:

Maximize $30$X $+10$Y

Subject to: $3$X $+$ Y $<=300$

X $+$ Y $<=200$

X $<=100$

Y $>=50$

X$,$Y $>=0$

What is the optimal solution?

Group of answer choices

$$3,200$

$$3,000$

$$3,400$

$$3,600$