Linear Programming Word ProblemA farmer has 240 acres of land on which he can raise corn and or soybeans. Raising corn yields 120 bushels per acre, which can be sold for $2.40 per bushel, and raising soybeans yields 40 bushels per acre and sells for $6.00 per bushel. To obtain this price, the farmer must be able to store his crop in bins with a total capacity of 12,000 bushels. The farmer must limit each crop to no more than 10,800 bushels. Assuming the costs of raising corn and soybeans are the same, how much of each should the farmer plant in order to maximize his revenue? What is this maximum?How would I organize this info into a chart?What are the x and y values?What is the objective function?What are the constraints and why?How is this graphed?What is the feasable region and what are the corner points?What is the solution to this problem?Thank you for you help.PS- I have tried submitting this questions two other times. The first time I submitted it under calculus and was told to submit it under statistics, but it was rejected from statistics as well. I am submitting it under Algebra this time because the person who rejected it from statistics told me to submit it under mathametics, which there is no category for, so I figure Algebra was the next best thing.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 28E: Production A small country exports soybeans and flowers. Soybeans require 8 workers per acre,...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Linear Programming Word Problem

A farmer has 240 acres of land on which he can raise corn and or soybeans. Raising corn yields 120 bushels per acre, which can be sold for $2.40 per bushel, and raising soybeans yields 40 bushels per acre and sells for $6.00 per bushel. To obtain this price, the farmer must be able to store his crop in bins with a total capacity of 12,000 bushels. The farmer must limit each crop to no more than 10,800 bushels. Assuming the costs of raising corn and soybeans are the same, how much of each should the farmer plant in order to maximize his revenue? What is this maximum?

How would I organize this info into a chart?
What are the x and y values?
What is the objective function?
What are the constraints and why?
How is this graphed?
What is the feasable region and what are the corner points?
What is the solution to this problem?

Thank you for you help.

PS- I have tried submitting this questions two other times. The first time I submitted it under calculus and was told to submit it under statistics, but it was rejected from statistics as well. I am submitting it under Algebra this time because the person who rejected it from statistics told me to submit it under mathametics, which there is no category for, so I figure Algebra was the next best thing.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
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 (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
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
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt