Question

Please help this is urgent!! Calculus optimization problem!

Answer 1

Hello

Answer 2

Thank you so much for the help people!!

Answer 3

@IrishBoy123

Answer 4

If someone could help with just a little bit please!!

Answer 5

Which problem is the trouble?

Answer 6

All of it...

Answer 7

\[\large A(t) = C e^{k \sqrt{t}} e^{r(40-t)}\]
maximize A(t) by setting derivative equal to 0
\[\large A'(t) = (\frac{k}{2 \sqrt{t}} -r)C e^{k \sqrt{t}} e^{r(40-t)} = 0\]
solve for t ignoring the exponential factors since they will never equal 0
\[\rightarrow \frac{k}{2 \sqrt{t}} - r = 0\]
\[t = \frac{k^2}{4r^2}\]
This is general solution for optimal time to sell