## A problem in timber growth management is to determine how much of an area to leave uncut so that the harvested area is reforested in a certain period.

Asked by DENIZHAN AYDIN

### DENIZHAN AYDIN (view profile)

on 5 Nov 2018
A problem in timber growth management is to determine how much of an area to leave uncut so that the harvested area is reforested in a certain period. It is assumed that reforestation takes place at a known rate per year, depending on climate and soil conditions. A reforestation equation expresses this growth as a function of the amount of timber standing and the reforestation rate. For example, if 100 acres are left standing and the reforestation rate is 0.1, then 100(1+0.1) are forested at the end of the first year. At the end of the second year, the number of acres forested is 105(1+0.1) = 121 acres. Assume that there are 15,000 acres total with 2500 acres uncut and that the reforestation rate is 0.05. Write a program to calculate and print a table showing the number of acres forested at the end of each year, for up to 15 years.