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 $0\mathrm{.}05,$ then $100+0\mathrm{.}05**100,$ 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 $105+0\mathrm{.}05**105,$ or $110\mathrm{.}25$ acres.

Q$1)$ Assume that there are $14,000$ acres total with $2,500$ acres uncut and that the

reforestation rate is $0\mathrm{.}02.$ Write a python program that produces a table $($appears below$)$

that shows the number of acres forested at the end of each year, for a total of $20$ years.

You must use for loop to solve this question. Name your program as

Q$1.$py$.$

$(4$ Marks$)$

Q$2)$ Repeat Q$1$ using while loop. Name your program as

Q$2.$py$.$

$(4$ Marks$)$

Q$3)$ Modify the program developed in Q$1$ so that the user can enter anumber of acres and

the program will determine how many years are required for the number of acres to be

completely forested. This is shown in the example below. Name your program as

Q$3.$py$.$

$(2$ Marks$)($AND include screenshots for the outputs$)$