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.

Question

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.

Quizplus · Accepted Answer

The minimum cost occurs on the line between (2,2) and (5,0), which represents a combination of foods A and B that meets the nutritional requirements at the lowest cost.

Two Foods Contain Only Proteins, Carbohydrates, and Fats