# Fish Population Growth

• Nov 4th 2010, 06:56 AM
MickG86
Fish Population Growth
HI,

I've got this application:

A fish farm growing fish for human consumption models the population using the following function

$F(x) = \frac {2800}{1+69e^{-0.2256052x}}$

where x is the time in months and F(x) is the population size.

to maximize the yield the farmer needs to harvest the fish so that the rate at which the population is growing is high (more than 75 fish/month)

Task: Determine the best time to farm the fish. Sugget what might be the best number to remove at this time and how oftern this can be done.

Thanks for the help (Bow)
• Nov 4th 2010, 02:53 PM
HallsofIvy
The "rate at which the population is growing" is the DERIVATIVE of F(x) with respect to x. When is that larger than 75?