Hi Lalitha

You are asking a good question. x and y are the variables.

here we find a value for x and y. It is not fixed.we find the value for x and y that is minimum.the maximum value for x and y is anything

The question may be x^3 + y^3 6.

x and y may be positive or negative. there are four ways.

1. + x + y

2. +x - y

3. - x + y

4. -x -y

Both negative not possible since the result 6 is positive.

Both may be positive or either one may be negative. Because of that only they asked as minimum value. By trial and error method I got two set of answers x 1.112 y 1.666 and x -9.92 y 9.94. We will get min value for 3x+11y from the first set of answer. The answer is approx 21.66.

Kindly comment on my understanding.