A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals Il and IIl must be in the ratio of 5 to 2. The amount of nitrogen must be at least 47 kg. The percent of nitrogen in the three chemicals 9% , 2%, and 3%, respectively. If the three chemicals cost $1.03, $0.89, and $0.61 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made wwith ka of chemical I ka of chemical II and ka of chemical III

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 68SE: The top three oil producers in the United States in a certain year are the Gulf of Mexico, Texas,...
icon
Related questions
Question

Help me fast so that I will give Upvote.

A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals Il and III must be in the ratio of 5 to 2. The amount of nitrogen must be at least 47 kg. The percent of nitrogen in the three chemicals is
9%, 2%, and 3%, respectively. If the three chemicals cost $1.03, $0.89, and $0.61 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food?
The minimum cost plant food is made with kg of chemical I,
kg of chemical II, and
kg of chemical III.
Transcribed Image Text:A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals Il and III must be in the ratio of 5 to 2. The amount of nitrogen must be at least 47 kg. The percent of nitrogen in the three chemicals is 9%, 2%, and 3%, respectively. If the three chemicals cost $1.03, $0.89, and $0.61 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made with kg of chemical I, kg of chemical II, and kg of chemical III.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Indefinite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell