Help: how to make my stock to be a expotential growth?

[july]

My in flow is 'net hiring rate' and stock is 'Sale force' and no out flow.


My question is : how to set the value of 'net hiring rate' and make the graph of 'sale force' looks like expotential growth.


Thank you very much

July

[karankhosla]

Sales Force will have units {people}
net hiring rate will have units {people/year} or {people/month}

In order for there to be exponential growth, the rate of growth i.e "net hiring rate" must be proportional to the current number of people in the "Sale Force" stock.

You define a "fractional growth rate" variable with a value of e.g. 1% and units {people/people/year = 1/year} and formulate your "hiring rate" such that:
net hiring rate {people/year} = fractional growth rate{1/year} * Sales Force {people}

In order for this to run properly your initial stock of "sales force" should be greater than zero.

You should verify your simulation - if your fractional growth rate is 1% then your doubling time (or the time it takes for the quantity in the stock to double) is: DT {years} = 0.7/fractional growth rate = 0.7/0.01, therefore the simulation should show that the quantity doubles every 70 years.

Hope this helps.

Karan

[Edited on 1-8-2010 by karankhosla]