Chapter 4.2, Problem 40E

Nutrition Two foods contain proteins, carbohydrates, and fats. Food A costs $ 1 per pound and contains 30% protein, 10% fat, and 50% carbohydrates. Food B costs $1.50 per pound and contains 20% protein, 4% fat, and 75% carbohydrates. What combination of these two foods provides at least 1 pound of protein, $2\frac{1}{2}$ pounds of carbohydrates, and $\frac{1}{5}$ pound of fat at the lowest cost?