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Previous1 2 3 4 5 6 7 8 Next Question 5 of 8 (1 point) 1.4 Section Exercise Belinda, a Florida citrus grower, estimates that if 30 orange trees are planted, the average yield per tree will be 200 oranges. The average yield will decrease by 2 oranges per tree for each additional tree planted on the same acreage. Express Belinda's total yield as a function of the number of additional trees planted, draw the graph, and estimate the total number of trees Belinda should plant to maximize yield. Belinda can reach a maximum total yield of addition to the 30 already planted, for a total o oranges by planting trees in trees

Explanation / Answer

let x = number of additional trees

Oranges (x) = (30+x)*(200-2x) = -2x^2 + 140x + 6,000.

to get the maximum O'(x)=0
O ' = -4x+140
0 = -4x+140
x = 35

He should plant 35 additional trees for a total of 65 trees. He would get 8450 oranges

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