SOLUTION: An orchard contains 30 apple trees, each of which yields about 500 apples over the growing season.The owner plans to add more trees, but each new tree will reduce the average yield

Question 921280: An orchard contains 30 apple trees, each of which yields about 500 apples over the growing season.The owner plans to add more trees, but each new tree will reduce the average yield per tree by about 7 apples over the season. How many trees should be added to maximize the total yield of apples? What would be the maximum yield for the apple orchard for the season?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Trees___________ApplesPerTree________TotalApples
__30_______________500_______________30*500
__31______________500-7______________31(500-7)
__32_____________500-2*7____________32(500-2*7)
__33____________500-3*7_____________33(500-3*7)

This may be easier to analyze using how many additional trees beyond the initial 30 trees. Pondering the pattern for total apples, if x is the number of ADDITIONAL trees beyond 30, then total apples for the orchard is .

Can you do the rest?
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