A sheep farmer will blend three types of feed for his sheep, costing \(\$ 1\) per pound, \(\$ 2\) per pound, and \(\$ 3\) per pound, respectively. Feed 1 consists of \(50 \%\) fat and \(50 \%\) protein, feed 2 is \(25 \%\) fat and \(75 \%\) protein, and feed 3 is \(40 \%\) fat and \(60 \%\) protein. Sheep are to receive at least \(2 \mathrm{lbs}\). of fat per week and \(3 \mathrm{lbs}\). of protein. Minimize the weekly cost of feed per sheep.