I want to maximize a non linear function

I have a function of two variables and I need to maximise it for given constraints. The function: F(x) = x1 / (x2 * constant) subject to: 20000 <= x1 <= 50000, 1 <= x2 <= 5

Kindly guide me how to do this using MATLAB.

Regards Abubakr

Answer 1

[Walter Roberson]

The constant does not change the relative position of the maximum.

The expression over positives (or if both are negative) x1/x2 always has its maximum when x1 is as far from 0 as the range permits, and x2 is as close to 0 as the range permits.

You do not need to run an optimization, just choose the upper bound of x1 and the lower bound of x2

[Abubakr Sheikh]

The upper bound of x1 is 50000 and lower bound of x2 is 1, now what will be the maximum value of given function?

[Walter Roberson]

50000/(constant*1)

[Abubakr Sheikh]

ok, thank you