Marginal Demand

The demand D, for a new rollerball pen is given by, D = 0.007p^3-0.5p^2+150p. Find the rate of change at p=25, and interpret the result.
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1 Answer

D=0.007x^3 -0.5x^2 +150x

dD/dx=3*(0.007)x^2 -x+150

=0.021x^2 -x+150

Thats a parabola that kerv up

at x=25...(0.021*625) -25+150

=13.125+125

=138.125
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