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This is the question I need help with. Please help!

`The production of y can exceed x by no more than 200` translates to what inequality?

That's what's stumping me here... I'm not sure how to write that one out.

Oh okay. So now all I have to do is write it out on a graph and plug the vertices into the equation?

sure I can do that

Alright I'm almost done graphing it...

Here's what it looks like...

don't forget x >= 0 and y >= 0
when you graph all 4 inequalities and focus on the region where all shaded regions overlap, you'll get this

So my graph doesn't look right yet...?

Now it looks like this. :/

yeah that looks better. if you focus on the region where all 4 graphs have in common, you'll have this region here

each corner point is found by finding the intersection of the lines

example: (0,200) is found by finding the intersection of the lines `x = 0` and `y=x+200`

Same with y>=0

`x = 0` is the boundary line to `x >= 0`

`x = 0` is the y axis
`x >= 0` means you shade to the right of the y axis

Okay I think the answer is C, which is: (1600,0)
Is that right?

I need to go really soon

yep the profit is P = 21500 at (x,y) = (1600,0) which is the max profit

I got a 3/3! Thank you for helping! You really helped me understand this better! :)