Constraints.cs

void Main()
{
  var res = (from taz in new[]{0,1,2}
			  from pieds in Enumerable.Range(1,10 - taz)
			  from gifles in Enumerable.Range(1,10 - pieds - taz)
			  let productivite = gifles * 50 + pieds * 100 + taz * 200
			  let bugs = gifles * 2 + pieds * 5 + taz * 11
			  where bugs <= 50
			  select new []{taz,pieds,gifles,bugs,productivite})
			  .MaxOf(o => o[4]);
			  
	res.Dump();
}

// Define other methods and classes here

static class Ext
{
	public static T MaxOf<T>(this IEnumerable<T> seq, Func<T,int> comp)
	{
		T res = default(T);
		int max = int.MinValue;
		foreach(var t in seq)
		{
			if (comp(t) > max)
			{res = t; max = comp(t);}
		}
		
		return res;
		
	}
}