Mat lab

Timber Regrowth A problem in timber management is to determine how much of an area to leave uncut so the harvested area is reforested in a certain perniod of tiume It is assumed that reforestation takes place at a known rate per year, depending on climate and soil conditions. A reforestation expresses this growth as a function of the amount of timber standing and reforestation rate. For example, if 100 acres are left standing after harvesting and the reforestation rate is 0.05, then 105 acres are forested I at the end of the first year. At the end of the second year, the number of acres forested is 110.25 acres. If yearo is the acreage forested, then yeari -yearo t rate X yearo yearo x (1 trate) yearz +year, + rate x yeani year X (1 + rate -yearo x (1 +rate) x (1 +rate) yearo x (1 + rate)2 year's = year2+ rate year2 = year2 x (1 + rate) yearo x (1 + rate)2 x (1 + rate) +yearo (1 +rate)3 yearo x (1 + rate)" year, 15. Assume there are 14000 acres total, with 2500 uncut acres, and 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. You should also present your results in a bar graph, labeled appropriately 16. Modify the program developed in Problem 15 that the user can enter the number of years to be used for the table 17. Modify the program developed in Problem 15 so the user can enter a number.of acres, and the program will determine how many years are required for the number of acres to be forested. (You will need a loop for this one.)