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A farmer has 1000 acres of land on which he can grow corn, wheat or soyabeans. Each acre of corn costs Rs. 100 for preparation,

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A farmer has 1000 acres of land on which he can grow corn, wheat or soyabeans. Each acre of corn costs Rs. 100 for preparation, requires 7 man-days for work and yield a profit of Rs. 30. An acre of wheat costs Rs. 120 for preparation, requires 10 man-days for work and yield a profit of Rs. 40. An acre of soyabeans costs Rs. 70 for preparation, requires 8 man-days for work and yield a profit of Rs. 20. If the farmer has Rs. 1,00,000 for preparation and can count on 80.000 man-days work, how many acres should be allocated to each crop to maximize the total profit

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