A dietician is preparing a meal consisting of foods A, B, and C. Each ounce of food A contains 2 units of pro- tein, 3 units of fat, and 4 units of carbohydrate. Each ounce of food B contains 3 units of protein, 2 units of fat, and 1 unit of carbohydrate. Each ounce of food C contains 3 units of protein, 3 units of fat, and 2 units of carbohydrate. If the meal must provide exactly 25 units of protein, 24 units of fat, and 21 units of carbohydrate, how many ounces of each type of food should be used?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
icon
Related questions
Topic Video
Question

A dietician is preparing a meal consisting of foods A, B,

and C. Each ounce of food A contains 2 units of pro-
tein, 3 units of fat, and 4 units of carbohydrate. Each

ounce of food B contains 3 units of protein, 2 units of
fat, and 1 unit of carbohydrate. Each ounce of food C
contains 3 units of protein, 3 units of fat, and 2 units of
carbohydrate. If the meal must provide exactly 25 units
of protein, 24 units of fat, and 21 units of carbohydrate,
how many ounces of each type of food should be used?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning