Real Problem: One of our aunts who lives on the Murray River in Victoria, Australia, has a deal for us. She would like to invest in a Down Under Theme Park in New Mexico. She would like us to go in with her on this. All we have to do is provide the labor she'll provide the money. Should we accept this offer?
The aunt will send us 25 pairs of kangaroos.
She is in for ten years.
She will give us start up money of $1M Aus.
Some questions to explore: How fast will the herd grow? Are the conditions right for 'roos? How much land will will be needed? Where will the Park be located and why? What is the profit margin here?
x(t + dt) = x(t) + 1/2*x(t) - 1/3*x(t)which reduces to the following:
x(t + dt) = 1/6*x(t)
Sample Java Program
Sample Data (Output from the Java Program)
Sample Graph (Gnuplot graph of our Data)