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September 21, 2014

September 21, 2014

Posted by **chamberlain** on Saturday, October 27, 2012 at 11:31pm.

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.

i)Find A.

ii)Find dR/dt when q=20 and dp/dt=4.

- calculus -
**Damon**, Sunday, October 28, 2012 at 7:53amp^2 + 2 q^2 = 1100

2 p dp/dt + 4 q dq/dt = 0

dp/dt = -(q/p) dq/dt

R = p q price times quantity

dR/dt = p dq/dt + q dp/dt = A dp/dt

so A is just q

when q = 20

p^2 + 2(400) = 1100

p^2 = 300

p = 10 sqrt 3

dR/dt = q dp/dt = 20*4 = 80

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