Please complete using c$++$

The cost of renting a room at a hotel is$,$ say $$100\mathrm{.}00$ per night. For special occasions, such as a wedding or conference, the hotel offers a special discount as follows: If the number of rooms booked is at least $10,$ the discount is $10\%$; at least $20,$ the discount is $20\%$; and at least $30,$ the discount is $30\%.$ Also if rooms are booked for at least three days, then there is an additional $5\%$ discount. Write a program that prompts the user to enter the cost of renting one room, the number of rooms booked, the number of days the rooms are booked, and the sales tax $($as a percent$).$ The program outputs the cost of renting one room, the discount on each room as a percent, the number of rooms booked, the number of days the rooms are booked, the total cost of the rooms, the sales tax, and the total billing amount. Your program must use appropriate named constants to store special values such as various discounts.

Here is my code but i$\text{'}$m failing on correct output for less than $10$ rooms, $10-19,20-29,$ and $3$o or more rooms. Please look over the code to see where my mistakes are.

#include

#include

using namespace std;

$//$ Constants for discounts and sales tax

const double DISCOUNT$\_10\_$ROOMS $=0\mathrm{.}10$;

const double DISCOUNT$\_20\_$ROOMS $=0\mathrm{.}20$;

const double DISCOUNT$\_30\_$ROOMS $=0\mathrm{.}30$;

const double ADDITIONAL$\_$DISCOUNT $=0\mathrm{.}05$;

int main$()\{$

$//$ Variables to store user input

double roomCost, salesTax;

int numRooms, numDays;

$//$ Prompt user for input

cout $<<$ "Enter the cost of renting one room: $$"$;

cin $>>$ roomCost;

cout $<<$ "Enter the number of rooms booked: $"$;

cin $>>$ numRooms;

cout $<<$ "Enter the number of days the rooms are booked: $"$;

cin $>>$ numDays;

cout $<<$ "Enter the sales tax rate $($as a percent$)$: $"$;

cin $>>$ salesTax;

$//$ Calculate total cost without considering discounts

double totalCost $=$ roomCost $*$ numRooms $*$ numDays;

$//$ Apply discounts based on the number of rooms booked

double discount $=0\mathrm{.}0$;

if $($numRooms $>=30)\{$

discount $=$ DISCOUNT$\_30\_$ROOMS;

$\}$ else if $($numRooms $>=20)\{$

discount $=$ DISCOUNT$\_20\_$ROOMS;

$\}$ else if $($numRooms $>=10)\{$

discount $=$ DISCOUNT$\_10\_$ROOMS;

$\}$

$//$ Apply additional discount for booking at least three days

if $($numDays $>=3)\{$

discount $+=$ ADDITIONAL$\_$DISCOUNT;

$\}$

$//$ Calculate discounted cost

double discountedCost $=$ totalCost $-($totalCost $*$ discount$)$;

$//$ Calculate sales tax amount

double taxAmount $=$ discountedCost $*($salesTax $/100\mathrm{.}0)$;

$//$ Calculate total billing amount

double totalAmount $=$ discountedCost $+$ taxAmount;

$//$ Output results

cout $<<$ fixed $<<$ setprecision$(2)$;

cout $<<"$

Cost of renting one room: $$"<<$ roomCost $<<$ endl;

cout $<<$ "Discount on each room: $"<<$ discount $*100<<"\%"<<$ endl;

cout $<<$ "Number of rooms booked: $"<<$ numRooms $<<$ endl;

cout $<<$ "Number of days the rooms are booked: $"<<$ numDays $<<$ endl;

cout $<<$ "Total cost of the rooms: $$"<<$ totalCost $<<$ endl;

cout $<<$ "Sales tax: $"<<$ salesTax $<<"\%"<<$ endl;

cout $<<$ "Total billing amount: $$"<<$ totalAmount $<<$ endl;

return $0$;

$\}$