Agricultural research on a certain variety of fruit has shown that if 30 trees are planted per acre, then each tree will yield an average of 300 pounds of fruit per season. For each additional tree planted per acre, the average yield per tree is reduced by 5 pounds.
a. Find an equation for the yield, Y , of a 1-acre plot as a function of the number of trees planted.
b. How many trees should be planted per acre to produce the maximum yield? What is the maximum yield per acre?
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