A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his field. The minimum needs are 160units of A, 200units of B and 80units of C. There are 2 popular brands of fertilizer on the market; Fast Grow costing GHS40 per bag and containing 3units of A, 5units of B, and lunit of C, and Easy Grow costing GHS30 per bag and containing 2units of each nutrient. The farmer wishes to minimize his cost while maintaining the nutrients required. a) Formulate the linear programming problem. b) Graph the constraints. c) How many bags of each brand of fertilizer should the farmer buy in order to minimize cost?
A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his field. The minimum needs are 160units of A, 200units of B and 80units of C. There are 2 popular brands of fertilizer on the market; Fast Grow costing GHS40 per bag and containing 3units of A, 5units of B, and lunit of C, and Easy Grow costing GHS30 per bag and containing 2units of each nutrient. The farmer wishes to minimize his cost while maintaining the nutrients required. a) Formulate the linear programming problem. b) Graph the constraints. c) How many bags of each brand of fertilizer should the farmer buy in order to minimize cost?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
Related questions
Topic Video
Question
Transcribed Image Text:A farmer decides to purchase fertilizer containing 3 nutrients A,
B, and C to be spread to his field. The minimum needs are
160units of A, 200units of B and 80units of C. There are 2
popular brands of fertilizer on the market; Fast Grow costing
GHS40 per bag and containing 3units of A, 5units of B, and
lunit of C, and Easy Grow costing GHS30 per bag and
containing 2units of each nutrient. The farmer wishes to
minimize his cost while maintaining the nutrients required.
a) Formulate the linear programming problem.
b) Graph the constraints.
c) How many bags of each brand of fertilizer should the
farmer buy in order to minimize cost?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Knowledge Booster
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
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning