A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region's excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Cost (Price/Hec) Net Profit (Price/Hec) Man-days/Hec Wheat 100 50 10 Barley 200 120 30 The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. In addition, the farmer would like to get a profit of at least $3000. Generate the mathematical model for the optimal usage of land area to produce wheat and barley. Using graphical method to optimize land usage, how many hectares are to be used for wheat and barley.
A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region's excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Cost (Price/Hec) Net Profit (Price/Hec) Man-days/Hec Wheat 100 50 10 Barley 200 120 30 The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. In addition, the farmer would like to get a profit of at least $3000. Generate the mathematical model for the optimal usage of land area to produce wheat and barley. Using graphical method to optimize land usage, how many hectares are to be used for wheat and barley.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
Related questions
Question
Transcribed Image Text:A farmer has recently acquired a 110 hectares piece of land. He has decided to grow
Wheat and barley on that land. Due to the quality of the sun and the region's
excellent climate, the entire production of Wheat and Barley can be sold. He wants
to know how to plant each variety in the 110 hectares, given the costs, net profits and
labor requirements according to the data shown below:
Variety
Cost (Price/Hec)
Net Profit (Price/Hec)
Man-days/Hec
Wheat
100
50
10
Barley
200
120
30
The farmer has a budget of US$10,000 and an availability of 1,200 man-days during
the planning horizon. In addition, the farmer would like to get a profit of at least $3000.
Generate the mathematical model for the optimal usage of land area to produce
wheat and barley. Using graphical method to optimize land usage, how many
hectares are to be used for wheat and barley.
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 4 steps with 4 images
Recommended textbooks for you
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL