# Related Rates!

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• November 13th 2006, 07:40 PM
Affinity
Related Rates!
Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 2p^3 + x^2 = 4500.
Determine the rate at which sales are changing at a time when x = 50, p = 10, and the price is falling at the rate of \$0.50 per week. (Thanks in advance!)
• November 14th 2006, 03:25 AM
galactus
Differentiate your equation, sub in what you are given and find dx/dt.

$6p^{2}\frac{dp}{dt}+2x\frac{dx}{dt}=0$