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MATH HOMEWORK HELP

5. The price of a commodity is p dollars and the quantity supplied is x units, where

. Find the rate of change of the quantity supplied with respect to time t (measured in months) when the price is $4 and is increasing at the rate of 80 cents per month.

Solution: Using the chain rule we find that

From the given equation, and using the Chain Rule again, we find

Hence,

Butand, which means that



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