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 is a combination of x pounds of Food A and y pounds of Food B that provides at least  1 1 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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 is a combination of x pounds of Food A and y pounds of Food B that provides at least 
1
1
2
 pounds of protein, 
3
3
4
 pounds
 of carbohydrates, and 
1
5
 pound
 of fat at the lowest cost?
(x, y) = 
 
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