I have the following function:
m = f(x,y,z) = (a * (1 + x/100) * b - d * (1 + y/100)) / (h * (1 + z/100))
where a, d, h, b are positive constants and the variables are x,z,y (positive too)
My question is: how can I find for given x (between 1 and 1000), the optimal y,z so that m is as low as possible?
It seems that for different values x, some times y is more "important" (in lowering m) and others z is more important. I also don't have a clue how to visualize this.
Thank you in advance.
if a,d, h,b are positive and x,y,z are also positive and m is not constrained than you need to make (a * (1 + x/100) * b as small as possible meaning x should be very neare to zero... and you need to try to make d * (1 + y/100)) / (h * (1 + z/100)) as large as possible..meaning y/z should be as large as it could be...y/z goes to infinity a*(1+0)- infinity your answer should be infinite...