Homework Help is Here – Start Your Trial Now!
Math
Algebra
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single strand electric fence. The farmer has 800 m of wire at her disposal to enclos the plot. What is the largest area you can enclose and what is the dimensions of the plot?

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single strand electric fence. The farmer has 800 m of wire at her disposal to enclos the plot. What is the largest area you can enclose and what is the dimensions of the plot?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
See similar textbooks
icon
Related questions
Question
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single- strand electric fence. Now use the function you want to optimize from the second page and your constraint equation from the third page to determine a function for the area of the enclosed plot as a function of a single variable. The farmer has 800 m of wire at her disposal to enclose the plot. What is the largest area you can enclose and what is the dimensions of the plot? Vocabulary: This single-variable function is called the "objective function." Write the objective function in the box below. Over what domain should we consider this function? Note that both x and y must be positive; use your constraint equation to help you answer this question.
Transcribed Image Text:A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single- strand electric fence. Now use the function you want to optimize from the second page and your constraint equation from the third page to determine a function for the area of the enclosed plot as a function of a single variable. The farmer has 800 m of wire at her disposal to enclose the plot. What is the largest area you can enclose and what is the dimensions of the plot? Vocabulary: This single-variable function is called the "objective function." Write the objective function in the box below. Over what domain should we consider this function? Note that both x and y must be positive; use your constraint equation to help you answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Matrix Factorization
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS