Timber Regrowth. A problem in timber management is to determine how much of an a

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Timber Regrowth. A problem in timber management is to determine how much of an area to leave uncut so that the harvested portion is reforested within a certain period. It is assumed that reforestation takes placeat 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 examples, if 100 acres are left standing after harvesting, and the reforestation rate is 0.05, then 100 + 0.05 X 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 X 105, or 110.25 acres.

Assume that there are 14,000 acres with 2,500 acres uncut and that the reforestation rate is 0.02. Print a table showing the number of acres reforested at the end of each year, for a total of 20 years.
Modify the program so that the user can enter a number of acres, and the program will determine how many years are required for that number of acres to be completely forested.

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