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March 30, 2017

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Find two positive numbers whose product is 100 and whose sum is a minimum.

  • calculus - ,

    S=a+b
    but a= 100/b
    S=100/b + b

    dS/db=0=-100/b^2 +1

    solve for b, then go back and solve for a.

  • calculus - ,

    i hope i got it right. The two numbers are 10 and 10?

  • calculus - ,

    Exactly right. It's just the same as finding a rectangle of maximum area for a given perimeter. It's always a square.

  • calculus - ,

    thanks guys!

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