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One problem in timber management is to determine how much of an area to leave uncut so that the harvested area is reforested in a

One 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 of time. 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 m2 are left standing after harvesting and the reforestation rate is 0.05, then 100 + (0.05 * 100),or 105 m2, are forested at the end of the first year. At the end of the second year, the number of m2 forested is 105 + (0.05 * 105), or 110.25 m2. Assume that the area we are talking about has a total of 10,000 m2, with 5000 m2 uncut and a reforestation rate of 0.04. Write a program to print a table showing the number of m2 forested at the end of each year, for a total of 20 years. [10 Marks]

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