Find the rate of change of quantity with respect to price, Mathematics

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Find the rate of change of quantity with respect to price

The demand, D, for a new rollerball pen is given by D = 0.007p³ 0.6p² + 120p, where p is the price in dollars.

a. Find the rate of change of quantity with respect to price, dD/dp.

b. How many units will consumers want to buy when the price is $25 per unit?

c. Find the rate of change at p = 25, and interpret this result.

d. Would you expect dD/dp to be positive or negative?

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Mathematics: Find the rate of change of quantity with respect to price

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Mathematics: Find the rate of change of quantity with respect to price

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