I have this problem containing some inequations and requirement to minimize a value. After doing some research on the Internet, I came to conclusion that using Prolog might be the easiest way to solve it. However, I never used Prolog before, and I would hate to waste my time learning it just to discover that it is not the right tool for this job.

Please, if you know Prolog, take a look at this problem and tell me if Prolog is the right one. Or, if you know of some other language that is really suited for this.

a + b + c >= 100
d + e + f >= 50
g + h     >= 30

if (8b + 2e + 7h > 620) then y = 0.8 else y = 1.0
if (d > 35)             then x = 0.9 else x = 1.0

5xa + 8yb + 5c + 3xd + 2ye + 2f + 6xg + 7yh = w.

I need to find the values for a, b, c, d, e, f, g and h that minimize w.

I'm not really asking for code, although I'd be grateful for some hint how to tackle this if Prolog is really good for it. Thanks.