anonymous
  • anonymous
The amount A(t) of a certain item produced in a factory is given by A(t) = 4000 + 48(t-3) - 4(t-3)^3 where t is the number of hours of production since the beginning of the workday at 8:00 am. At what time is the rate of production increasing most rapidly?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
dude wt is tht
anonymous
  • anonymous
ummmmmmmmmmmmm
myininaya
  • myininaya
i forgot is production=cost-revnue or something liek that?

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anonymous
  • anonymous
oh well wats tht 2 tht yhu said dude
myininaya
  • myininaya
of wait im retard just forget about what I said i think i was thinking or profit lol
myininaya
  • myininaya
besides we are given the production function so taking the derivative will give us the rate of production
anonymous
  • anonymous
set A''(t) = 0 That will get you the highest production rate. -24t+72 = 0 t=3 8AM + 3Hours = 11AM
anonymous
  • anonymous
So the double derivative gives the highest production rate?
myininaya
  • myininaya
no to find max and min you find the first derivative
anonymous
  • anonymous
first derivative is the rate of production, second derivative is the (rate of rate) of production, If you want to find the Maximum production you set first derivative =0 If you want to find the Maximum RATE of production you set second derivative =0
myininaya
  • myininaya
yes elouis is right second rate of rate
anonymous
  • anonymous
Ahh thanks for clarifying that! I missed something like that on a practice AP test! >.<
myininaya
  • myininaya
i gave you a medal elouis lol
anonymous
  • anonymous
haha Thank you! i to you too.

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