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A farmer has 100 sheep each weighing 300 pounds. It costs Rs 0.50 a day to keep one sheep. The sheep gain weight at 10 pounds a day. They sell today for Rs 0.75 a pound, but the price is falling by Rs 0.01 a day. How many days should the farmer wait to sell his sheep in order to maximize his profit?

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Hint: $f (x) = 100 (300 + 10 x) (0.75 - 0.01 x) - 50 x$ is to be maximized

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A farmer has 100 sheep each weighing 300 pounds. It costs Rs 0.50 a day to keep one sheep. The sheep gain weight at 10 pounds a day. They sell today for Rs 0.75 a pound, but the price is falling by Rs 0.01 a day. How many days should the farmer wait to sell his sheep in order to maximize his profit?