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 the 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 *100 or 105 acres can be reforested at the end of the first year. If nothing is harvested, then at the end of the second year, the number of acres is 105+0.05*105 or 110.25 acres.
1. Prompt the user for the following inputs:
a. Total Acres
b. Acres Uncut
c. Reforestation Rate
d. Regrowth Period (in years)
2. Prompt the user to select one of the following calculation types:
a. Determine acres that can be harvested, given a regrowth period.
b. Determine regrowth period, given the acres to be harvested.
c. The program shall not allow the acres uncut to be greater than the total number of acres. Verify this both at the user input and during the calculations. An infinite amount of time cannot yield and infinite amount of wood.
3. Print to the screen a table that shows the following:a. Year
b. Reforestation rate
c. Acres Reforested (i.e. ready for harvest)
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <iostream>
int main()
{
/* Declare and initialize variables. */
int year=1 ;
double Acres = 14000, uncut = 2500, Regrowth_rate = .02;
double reforest = 0;
while(year<=20)
{
uncut = uncut + (uncut*Regrowth_rate); // calculate growth
cout<< year <<"\t" << uncut << endl;
year++;
}
return 0;
}
To solve this problem step-by-step, here's how you can proceed:
Step 1: Prompts for user inputs
- Prompt the user to enter the total number of acres (Total Acres).
- Prompt the user to enter the number of acres left uncut (Acres Uncut).
- Prompt the user to enter the reforestation rate (Reforestation Rate).
- Prompt the user to enter the regrowth period in years (Regrowth Period).
Step 2: Prompt user for calculation type
- Prompt the user to select one of the calculation types:
a. Determine acres that can be harvested, given a regrowth period.
b. Determine regrowth period, given the acres to be harvested.
c. Check if Acres Uncut is not greater than Total Acres.
Step 3: Calculation and table generation
- If the user selects calculation type "a" (Determine acres that can be harvested, given a regrowth period):
- Calculate the regrowth per year by multiplying the Reforestation Rate by the Acres Uncut.
- Create a table with columns: Year, Reforestation Rate, and Acres Reforested.
- Starting from Year 1 to the specified Regrowth Period, calculate and print the values in each row of the table.
- If the user selects calculation type "b" (Determine regrowth period, given the acres to be harvested):
- Prompt the user to enter the desired acres to be harvested.
- Calculate the regrowth period by dividing the desired acres to be harvested by the regrowth per year.
- Print the calculated regrowth period.
- If the user selects calculation type "c" (Verify that Acres Uncut is not greater than Total Acres):
- Check if Acres Uncut is greater than Total Acres.
- If true, display an error message stating that an infinite amount of wood cannot be obtained.
Note: Remember to handle input validation and possible errors, such as validating that user inputs are numeric and within reasonable ranges.
I hope this helps you to solve the timber management problem step-by-step!
To solve the given problem, you can create a program that prompts the user for the required inputs and then performs the calculations accordingly. Here's an outline of the program's steps:
1. Prompt the user for the following inputs:
a. Total Acres
b. Acres Uncut
c. Reforestation Rate
d. Regrowth Period (in years)
Make sure to validate the inputs and ensure that Acres Uncut is not greater than Total Acres.
2. Prompt the user to select one of the following calculation types:
a. Determine acres that can be harvested, given a regrowth period.
b. Determine the regrowth period, given the acres to be harvested.
3. Based on the user's selection, perform the necessary calculations:
- If the user chooses option a:
- Calculate the number of acres that can be harvested by subtracting Acres Uncut from Total Acres.
- Print the result.
- If the user chooses option b:
- Calculate the regrowth period by continuously multiplying the previous year's reforested acres (initially Acres Uncut) by (1 + Reforestation Rate).
- Check if the calculated Acres Reforested exceeds the Total Acres. If it does, stop the calculation.
- Print a table with the Year, Reforestation Rate, and Acres Reforested for each year until the Regrowth Period is reached.
Make sure to format the table using appropriate spacing and column headers for clarity.
It's important to note that this explanation provides an outline of the program flow. You would need to write the actual code implementing these steps.