A cooperative society of farmers has 50 hectares of land for two crops, X and Y. Earnings for crops X and Y per hectare are estimated at Rs 10,500 and Rs 9,000, respectively. To control weeds, a liquid herbicide should be used for crops X and Y at a rate of 20 liters and 10 liters per hectare. Also, to protect fish and wildlife no more than 800 liters of herbicide should be used and a pond that collects drainage from this land is recommended. Use the principles of linear programming to determine how much land should be allocated to each crop in order to maximize the total benefit to society.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A cooperative society of farmers has 50 hectares of land for two crops, X and Y. Earnings for crops X and Y per hectare are estimated at Rs 10,500 and Rs 9,000, respectively. To control weeds, a liquid herbicide should be used for crops X and Y at a rate of 20 liters and 10 liters per hectare. Also, to protect fish and wildlife no more than 800 liters of herbicide should be used and a pond that collects drainage from this land is recommended. Use the principles of linear programming to determine how much land should be allocated to each crop in order to maximize the total benefit to society.

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