Please check:
http://prnt.sc/d7s8p8

Question

Please check:
http://prnt.sc/d7s8p8

rose4825 · Answer

@gunsodo @mathmate @mathstudent55

rose4825 · Answer

@zepdrix

rose4825 · Answer

@3mar

3mar · Answer

Well, I am here.
That is with my pleasure to help you!

rose4825 · Answer

I have selected the answer I think is correct, I just need you to check if I am wrong or right. @3mar

3mar · Answer

So just a check, brother?

rose4825 · Answer

Yes, just a check

3mar · Answer

https://www.desmos.com/calculator/cyb9oqke48 I don't think so. Did you type the correct inequalities that represent this situation?

3mar · Answer

@rose4825
Do you follow?

mathmate · Answer

@rose4825
As @3mar said, the choice made is incorrect.
Hints:
at most means $\le$, and
at least means $\ge$.
Use these hints to help you shade the feasible region.
After that, pick a point in the feasible region to test your answer by going through the given inequalities.

rose4825 · Answer

I already submitted my answers by the time both of you answered. I had the questions posted for a long time and I needed to submit in order to receive even some credit :\. I got marked wrong and I know the correct answer now. Thanks for the help

3mar · Answer

I am happy to hear that.

3mar · Answer

so the answer is	 ?

rose4825 · Answer

The answer is the last option

mathmate · Answer

Yes, that is correct.  Well done!
The total must be at most 36 (so on or below x+y=36)
The quantity of type Y must be at least 3 times, so on or above y=3x.

3mar · Answer

$$\Huge\color{Sienna }\checkmark$$
$$\Huge\color{Peru }ツ$$