Please solve the mathematics problem using nested for loops

Please solve the mathematics problem using nested for loops in C++.

Given 2 integers x and y, x [0, 100] and y [25, 75]. Find the values of x and y that maximize the expression xy - y 2 (y squared) .

Your program should display the solutions in this format, where the # symbols should be replaced by your solutions.

x=#, y=# will maximize the expression.

The max value of the expression is #.

Hint: nested for loops work in this manner:

for ( ; ; ) // if this loop will circle 7 times,

{ for ( ; ; ) // and if this loop will circle 3 times,

{

statements; // then the statements will run 7x3=21 times.

}

}

Solution

The given expression can be changed to:

x*y+y²=(x+y)*y

CODE:

void main(){

int max=0,x,y,i,j,temp;

for(i=0;i<=100;i++)
{
for(j=25;j<=75;j++){
temp=(i+j)*j;
if(temp>max){
max=temp;
x=i;
y=j;
}
}
}

cout<<\"Maximized Value is:\"<<((x+y)*y);
cout<<\"x=\"<<x<<\" y=\"<<y;

}