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  • phi
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  • phi
you are told 2x+y= 800 you know Area= x*y using the first equation, we find y= 800-2x so Area = x(800-2x) now do the calculus thing: find the derivative and set it equal to 0
Do I distribute the x and then derive?

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  • phi
you could use the product rule, but distributing is easier
Okay so when I distribute the x I get 800x-2x^2 and when I derive it I get 800-4x and then I set it to 0. 800-4x=0. -4x=-800 and x=200
  • phi
the question asks for the max area, so use x=200 to find the area.
So it would be 160,000?
Because I would multiply 800 and 200?
  • phi
2x+y= 800 2*200+y= 800 y= 400
And then I would plug that into A=xy and get 80,000 correct?
  • phi
yes, that looks good.
Thank you!

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