- #1

ver_mathstats

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- Homework Statement
- When printer paper is sold for p dollars per packet, consumers will buy D(p)=30000/p^2 units per month. It is estimated that t months from now the price of paper will be p(t)=0.3t^(1/2)+6.3 dollars per unit. At what rate will the monthly demand for the paper be changing with respect to time 2 months from now?

- Relevant Equations
- D(p)=30000/p^2

p(t)=0.3t^(1/2)+6.3

t=2

I tried solving this question a few ways and this one logically made the most sense however I got it wrong and I am unsure of why.

I first plugged in t=2 into p(t).

p(2)=0.3(2)

I then found the derivative of D(p) which is D'(p)=-60000/p

I plugged in 6.724264069 into D'(p). D'(6.724264069)= -197.34.

I am confused at how to proceed and where I went wrong.

Thank you.

I first plugged in t=2 into p(t).

p(2)=0.3(2)

^{1/2}+6.3 to obtain 6.724264069.I then found the derivative of D(p) which is D'(p)=-60000/p

^{3}.I plugged in 6.724264069 into D'(p). D'(6.724264069)= -197.34.

I am confused at how to proceed and where I went wrong.

Thank you.