A farmer in Iowa owns 45 acres of land. He is going to plant each acre with
Question:
A farmer in Iowa owns 45 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields 200 profit, requires 3 workers, and requires 2 tons of fertilizer, each with corn yields 300 profit, requires 2 workers, and requires 4 tons of fertilizer. One hundred workers and 120 tons of fertilizer are available.
Help the farmer maximize the profit from his land.
Starting the optimal solution to the previous problem, explain what happens to the decision variables and the total cost when the availability of fertilizer varies from 20 tons to 220 tons in 10 ton increments. When does the farmer discontinue producing wheat? When does the he discontinue producing corn? How does the profit change for each 10 ton increment?
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe