The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, 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? 이 dD

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter61: Areas Of Circles, Sectors, And Segments
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K The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, 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?
a)
dp
Transcribed Image Text:K The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, 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? a) dp
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