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A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. The cost per hectare for barley is $30 and for swedes is $20. The farmer has budgeted $480. Barley requires I man-day per hectare and swedes require 2 man-days per hectare. There are 36 man-days available. The profit on barley is $100 per hectare and on swedes is $120 per hectare. Determine the number of hectares of each crop the farmer should sow to maximize the profits. Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.

A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. The cost per hectare for barley is $30 and for swedes is $20. The farmer has budgeted $480. Barley requires I man-day per hectare and swedes require 2 man-days per hectare. There are 36 man-days available. The profit on barley is $100 per hectare and on swedes is $120 per hectare. Determine the number of hectares of each crop the farmer should sow to maximize the profits. Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. The cost per hectare for barley is $30 and for swedes is $20. The farmer has budgeted $480. Barley requires I man-day per hectare and swedes require 2 man-days per hectare. There are 36 man-days available. The profit on barley is $100 per hectare and on swedes is $120 per hectare. Determine the number of hectares of each crop the farmer should sow to maximize the profits. Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.
Transcribed Image Text:A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. The cost per hectare for barley is $30 and for swedes is $20. The farmer has budgeted $480. Barley requires I man-day per hectare and swedes require 2 man-days per hectare. There are 36 man-days available. The profit on barley is $100 per hectare and on swedes is $120 per hectare. Determine the number of hectares of each crop the farmer should sow to maximize the profits. Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.
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