Posted by **Destinee** on Sunday, November 25, 2007 at 5:26pm.

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for $20 each, but the price is dropping at a rate of $1 per week. I need to know at what rate OHaganBooks' revenue is rising or falling given these conditions. I would also like to see the company's revenue increase at a rate of $5000 per week. At what rate would sales have to have been increasing to accomplish this?

Can somebody help me answer this and explain the steps to solve the problem?

- Calculus -
**bobpursley**, Sunday, November 25, 2007 at 6:53pm
write the functions.

revenue= number books sold * price book

dRev/dt=n dp/dt + p dn/dt

you are given n, p and dp/dt, and dn/dt

calculate.

For the second part, set dRev/dt to 5000

find dn/dt given n, p, dp/dt

I will be happy to critique your work.

- Calculus -
**Destinee**, Sunday, November 25, 2007 at 6:59pm
ok i got this

R=(1000+200x)(20-x)

R'=3000-400x

is that right so far?

- Calculus -
**Destinee**, Sunday, November 25, 2007 at 7:08pm
and x=weeks?

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