no need to spy on my questions

Question

anonymous · Answer

Note that:
$$
z-x=200\implies\
x=200+x
$$And:
$$
x+y+z=P
$$Where P is the maximized variable in question. So we have, with substitutions:
$$
x+y+z=201+z=201+200+x=401+x
$$But, since $x<y$, then, we have
$$
x\le 100
$$Thus, if $x=100$ we have maximized $P$, which is:
$$
P=401+100=501
$$Hence, we are done.

anonymous · Answer

(For the above, I substituted $x+y=201$ in $x+y+z$ as $(x+y)+z=201+z$.

Sorry, should have cleared that up.

anonymous · Answer

Is this copied from brilliant.org?

anonymous · Answer

The question or the answer? I've actually never heard of the site.

anonymous · Answer

the question :-p

anonymous · Answer

Seems pretty interesting, never been, but I'll check it out.

anonymous · Answer

Yep, it must be! The only hits I'm getting are from questions all posted today. @Luis_Rivera  you REALLY should not cheat on brilliant.org questions as it violates the rules. Delete this question.

anonymous · Answer

This is not a "riddle" to entertain us, this is you asking people to do your questions on brilliant.org so you can gain points unfairly....

anonymous · Answer

lol