Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 22% of the total acreage planted. At most 3400 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted? To achieve a maximum yield of ___ bushels of grain, plant _____ acres with wheat, ____ acres with corn, and ____ acres with rice.
Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 22% of the total acreage planted. At most 3400 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted? To achieve a maximum yield of ___ bushels of grain, plant _____ acres with wheat, ____ acres with corn, and ____ acres with rice.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels of wheat, 100 bushels of corn, or 80 bushels of rice. Acreage planted in corn must be at least half the acreage planted in wheat, and at most 22% of the total acreage planted. At most 3400 acres can be planted in rice. If you wish to maximize the total amount of grain produced, how should the land be planted?
To achieve a maximum yield of ___ bushels of grain, plant _____ acres with wheat, ____ acres with corn, and ____ acres with rice.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning