Question: Minimizing a function

hello all,

I work on an equation that represents the profit on a given horizon (L), according to three parameters (P, W, theta), and i want to find the triplet that minimizes this function. I even try to make a loop on the three parameter to find the minimum, but Maple does not give me a numerical result. Below is the function that I want to minimize (Prof(P,W,theta)):

restart;

beta:=1.2;

L:=2;

Q := t -> 50000/(2+23*exp(-120000*(W+1/10)^(1/10)*t/P^2)); 

Prof := (P,W,theta) -> int(((P-(50000+50000*exp((.4-theta)/(theta-.1)))/Q(L)+(10+30/theta^.5)*(2000/Q(t))^.4+38.4*(int(theta*beta*t^(beta-1), t = W .. L))-30*(int(theta*beta*t^(beta-1), t = 0 .. W)))*3)*10^9*(W+.1)^.15*(1-(1/25000)*Q(t))*(0.+(1/25000)*Q(t))*exp(-.15*t)/P^2, t = 0 .. L);

your help is much appreciated.