Two Foods Contain Only Proteins, Carbohydrates, and Fats

Multiple Choice

Two foods contain only proteins, carbohydrates, and fats. Food A costs $1.30 per pound and contains 30% protein and 50% carbohydrates. Food B costs $1.95 per pound and contains 20% protein and 75% carbohydrates. What combination of these two foods provides at least 1 pound of protein, 2.5 pounds of carbohydrates, and 0.25 pounds of fat at the lowest cost? Round your answer to the nearest cent. ​

A) Minimum cost of $6.50 occurs on the line between (2,2) and (5,0) .
B) Minimum cost of $9.75 occurs with 0 pounds of food A and 5 pounds of food B.
C) Minimum cost of $8.45 occurs on the line between (2,2) and (5,0) .
D) Minimum cost of $5.20 occurs with 2 pounds of food A and 2 pounds of food B.
E) Minimum cost of $12.35 occurs with 5 pounds of food A and 3 pounds of food B.