A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn costs ksh 100 for preparation, requires 7 man – days of work and yields a profit of ksh. 30. An acre of wheat costs ksh 120 to prepare, requires 10 man – days of work and yields a profit of ksh. 40. An acre of soya beans costs ksh 70 to prepare, requires 8 man – days of work and yields a profit of ksh. 20. If the farmer has ksh 100,000 for preparation and can count on 8,000 man – days of work, how many should be allocated to each crop to maximize profits.
A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn costs ksh 100 for preparation, requires 7 man – days of work and yields a profit of ksh. 30. An acre of wheat costs ksh 120 to prepare, requires 10 man – days of work and yields a profit of ksh. 40. An acre of soya beans costs ksh 70 to prepare, requires 8 man – days of work and yields a profit of ksh. 20. If the farmer has ksh 100,000 for preparation and can count on 8,000 man – days of work, how many should be allocated to each crop to maximize profits.
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 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn costs ksh 100 for preparation, requires 7 man – days of work and yields a profit of ksh. 30. An acre of wheat costs ksh 120 to prepare, requires 10 man – days of work and yields a profit of ksh. 40. An acre of soya beans costs ksh 70 to prepare, requires 8 man – days of work and yields a profit of ksh. 20. If the farmer has ksh 100,000 for preparation and can count on 8,000 man – days of work, how many should be allocated to each crop to maximize profits.
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