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 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 * 105) or 110.25 acres. Assume that the area has a total of 14,000 acres, with 2500 acres uncut and a reforestation rate of 0.02. Print a table showing the number of acres forested at the end of each year, for a total of 20 years.

a. synthesize the problem

b. design suitable algorithm (either pseudocode or flowchart)

c. write the program, compile and run the program.