The price (in dollars) p and the quantity demanded q are related by the equation: p^2+2q^2=1100.
If R is revenue, dR/dt can be expressed by the following equation: dR/dt=A(dp/dt),
where A is a function of just q

how do I find A? I know R= pq, but I dont know where else to start

Question

The price (in dollars) p and the quantity demanded q are related by the equation: p^2+2q^2=1100.
If R is revenue, dR/dt can be expressed by the following equation: dR/dt=A(dp/dt),
where A is a function of just q

how do I find A? I know R= pq, but I dont know where else to start

anonymous · Answer

wow this question gets asked a lot.

anonymous · Answer

@Algebraic! I Just finished answering something similar to this. So ya, it looks way too popular.

anonymous · Answer

if you guys helped someone answer it can you direct me to that page? thanks! :p

anonymous · Answer

solve the top equation for q; multiply by p, differentiate with respect to time...

anonymous · Answer

you differentiate q*p for time? thats what u meant right?

anonymous · Answer

yes.

anonymous · Answer

dR/dt=A(dp/dt)
 -> A = r' / p' 
    p²+2q²=1100.
2pp'  + 4qq' = 0
 ->p'  = ...
Revenue r = q * p
-> r' =

perl · Answer

what does A stand for?

anonymous · Answer

i got the second part already, but i dont get the first part