An orchard contains 53 peach trees with each tree yielding an average of 51 peaches. For each 5 additional trees planted, the average yield per tree…

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An orchard contains 53 peach trees with each tree yielding an average of 51 peaches. For each 5 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orchard?

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