anonymous
  • anonymous
The revenue derived from the production of x units of a particular commodity is: R(x)= (35x-x^2)/(x^2+35) million dollars. What level of production results in maximum revenue? What is the maximum revenue?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I have the 1st derivative as (-4x^3+105x^2-70x+1225) / (x^2+35)^2 is this correct?
amistre64
  • amistre64
\[(x^2 +35)(35-2x) - (2x)(35x-x^2) // (x^2+35)^2\] the "//" means "all over" (x^2+35)^2
amistre64
  • amistre64
-70x/(x^2+35)^2 is what I get...and im prone to error ;)

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amistre64
  • amistre64
and I see an error....
amistre64
  • amistre64
\[35x^2 +35^2 -2x^3 -70x -70x^2 +2x^3\]
amistre64
  • amistre64
\[-35x^2 -70x +35^2\]
amistre64
  • amistre64
-35(x^2 +2x -35)//(x^2-35)^2
amistre64
  • amistre64
thats correct :)
amistre64
  • amistre64
now when (x^2 +2x -35) is equal to zero, youll have your answer I beleive
amistre64
  • amistre64
(x+7)(x-5) x = -7 or x=5 take your pick ;)
anonymous
  • anonymous
ok I got lost back at the begining. After the quotient rule when I multiply I get \[-2x ^{3 } + 35x ^{2} - 70x +1225 - 70x ^{2} +2x ^{3} // (x ^{2} + 35)^{2}\]
anonymous
  • anonymous
never mind I see where we have the same. you just wrote it a little differently. the 35^2 instead of 1225.
amistre64
  • amistre64
yeah... I figured it be easier on me to not figure 35^2 out ...
amistre64
  • amistre64
925+150+150 = 925+300 = 1225
amistre64
  • amistre64
thats my georgia math :)
anonymous
  • anonymous
ok when you factor out the 35 should it be negative. \[-35(x ^{2} + 2x - 35) // (x ^{2}+35)^{2}\] I would have put 35(-x^2-2x+35) // (x^2+35)^2 I have to start a new post. When these get too long my computer goes REALLY SLOW
amistre64
  • amistre64
factor out the negative so you have a "normal" quadratic to play with..
amistre64
  • amistre64
same results, just easier to get to

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