Two foods contain proteins, carbohydrates, and fats. Food A costs $1 per pound and contains 30% protein, 10% fat, and So carbohydrates. Food 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 pounds of protein, 3 pounds of carbohydrates, and pound of fat at the lowest cost?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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Two foods contain proteins, carbohydrates, and fats. Food A costs $1 per pound and contains 30% protein, 10% fat, and So carbohydrates. Food 0 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 8 that provides at least E
pounds of protein, 3 pounds of carbohydrates, and
pound of fat at
the lowest cost?
Transcribed Image Text:Two foods contain proteins, carbohydrates, and fats. Food A costs $1 per pound and contains 30% protein, 10% fat, and So carbohydrates. Food 0 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 8 that provides at least E pounds of protein, 3 pounds of carbohydrates, and pound of fat at the lowest cost?
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