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[Step-by-Step] The number x of stereo speakers people are willing to buy per week from a retail chain at a price of $p is given by x=1000-60√p+25,

Question: The number x of stereo speakers people are willing to buy per week from a retail chain at a price of $p is given by $x=1000-60\sqrt{p+25}$, for $20\le p\le 100$.

Find $\frac{dx}{dp}$
Find the demand and the instantaneous rate of change of the demand with respect to price, when price is $75. Write a brief verbal interpretation of these results.

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[Step-by-Step] The number x of stereo speakers people are willing to buy per week from a retail chain at a price of $p is given by x=1000-60√p+25,

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