@Markiyan Hirnyk 

Dear Markiyan,

Since you took the time to think about this problem and help me, I think I should ask my problem in full instead of just part of it. I believe, then, you will perhaps agree that the issue at hand is not a prejudice against a procedure. By all means, I am interested in solving the problem with ANY method. In my...

I am a transplant from to Mathematica to Maple and still getting used to things. Could somebody please help me finding the maximum of f with repect to the constraints and with the variables below. I keep getting  syntax error, no matter how many times I check the documentation page. Thank you very much

f:=1/((4 a - 3 M) (-4 b + 3 M)) (-9 M^3 - 16 a b x +
    12 a M x + 12 M^2 x + 16 b x^2 - 12 M x^2 + 12 b M y +
    12 M^2 y - 16 b x y - 16 M x y - 12 M y^2 + 16 x y^2)...

I am trying to maximize a non-linear function f with respect to variables {a,b}.

Could any one suggest a smarter way of entering this into Maple please, as I am not able to get an answer.Thank you.

The function (shown below) also has the parameters {c,H} in it and I have the constraint:

CONSTRAINT:______________0

My Function f:

(256 a^4 (4 c - H) + (1604 c - 10385 H) H^4 -
   60 b^3 H (56 c + 177 H) + 6 b^2 H^2 (-708 c + 1663 H) +