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An orange grove produces a profit of $96 per tree when there are 1200 trees planted....

An orange grove produces a profit of $96 per tree when there are 1200 trees planted. Because of​ overcrowding, the profit per tree​ (for every tree in the​ grove) is reduced by 4 cents per tree for each one additional tree planted. How many trees should be planted in order to maximize the total profit of the orange​ grove? What is the maximum​ profit?

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