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anonymous

  • one year ago

???

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  1. phi
    • one year ago
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    |dw:1440262808457:dw|

  2. phi
    • one year ago
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    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

  3. anonymous
    • one year ago
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    Do I distribute the x and then derive?

  4. phi
    • one year ago
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    you could use the product rule, but distributing is easier

  5. anonymous
    • one year ago
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    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

  6. phi
    • one year ago
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    the question asks for the max area, so use x=200 to find the area.

  7. anonymous
    • one year ago
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    So it would be 160,000?

  8. anonymous
    • one year ago
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    Because I would multiply 800 and 200?

  9. phi
    • one year ago
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    2x+y= 800 2*200+y= 800 y= 400

  10. anonymous
    • one year ago
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    And then I would plug that into A=xy and get 80,000 correct?

  11. phi
    • one year ago
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    yes, that looks good.

  12. anonymous
    • one year ago
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    Thank you!

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