Timber Regrowth. A problem in timber 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 after harvesting and the reforestation rate is 0.05, then 100 + 0.05 * 100, or 105 acres, are forested at the end of the first year. At the end of the second year, the number of acres forested is 105 + 0.05 * 105, or 110.25 acres.
Assume that there are 14,000 acres total with 2,500 acres uncut and that the reforestation rate is 0.02. Print a table showing the number of acres forested at the end of each year for a total of 20 years.
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