Question

(Apartment problem) A real estate office handles, say, 50 apartment units. When the rent is, say, $600 per month, all the units are occupied. C++

However, for each, say, $40 increase in rent, one unit becomes vacant. Moreover, each occupied unit requires an average of $27 per month for maintenance.

How many units should be rented to maximize the profit?

Instructions

Write a program that prompts the user to enter:

1. The total number of units.
2. The rent to occupy all the units.
3. Amount to maintain a rented unit.
4. The increase in rent that results in a vacant unit.

The program then outputs:

1. The number of units to be rented to maximize the profit
2. The maximum profit

Answer 1

Code -

#include <iostream>
using namespace std;

int main ()
{
//variable declare
double rent, maintenance, maintenanceCost,increaseRent;
double income,profit, maxProfit=0;
int n;
//ask user to enter rent to occupy all units
cout << "the rent to occupy all units: \t";
cin >> rent;
//ask user to enter the increase in rent that results in a vacant unit
cout << "\n the increase in rent that results in a vacant unit";
cin >> increaseRent;
//ask user to enter amount to maintain a rented unit:
cout << "\n amount to maintain a rented unit:\t";
cin >> maintenanceCost;
//output the rent
cout << "Rent" << " " << "Units" << " " << "Maintenance" << " " << "Income"<< " " << "Profit" << "\n";

for(int units = 50; units > 0; units--, rent += increaseRent)
{
income = units * rent;
maintenance = units * maintenanceCost;
profit = income - maintenance;
  
if (profit > maxProfit)
{
maxProfit = profit;
n = units;
}
  
cout << rent << " " << units << " " << maintenance << " " << income<< " " << profit << "\n";

}

cout << "\n number units to be rented to maximize profit is \t";
cout << n;
cout << "\n";

return 0;
}

Screenshots -