A farmer preparing cattle for the market must make sure each cow has the correct mix of food for meeting its customers standards. Four different feeding materials are used as in the first accompaning table. This table indicates the amount of each of four constituents delivered for each pound of feed type. The second table provides the minimum daily requirements. Note that there is also a max amount of fat that a cow should have. Assume that a cow should consume no more than 25 pounds of feed, formulate the problem as a linear program and solve to find a daily feed plan that will minimizes cost. Feed Type Feed Type Corn Wheat Barley Hay Corn Wheat Barley Hay Constituent Material Fat (g) 2 1 3 4 Cost per pound $0.60 $0.40 $0.35 $0.05 Protein (g) 20 15 15 10 Iron (mg) 4 7 6 5 Calories 200 400 300 500 Constituent Material Fat (g) Min Daily Required 25 Protein (g) Min Daily Required 400 Iron (mg) Min Daily Required 125 Calories Min Daily Required 6000 Fat (g) Max Daily 65