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28.10.2020 •
Mathematics
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Ответ:
Ответ:
Step-by-step explanation:
If x is the number of trees planted per acre, we are told the yield per tree is ...
36 -(x -20) = 56 -x . . . lbs
The total yield per acre is the product of the number of trees and the yield per tree:
y = x(56 -x)
This function describes a parabolic curve with zeros at x=0 and x=56. The curve opens downward, so will have its peak value halfway between these zeros, at x = (0 +56)/2 = 28.
28 tree per acre should be planted to maximize yield.
That yield will be (28)(56 -28) = 784 pounds per acre.
_____
Additional comment
We have to assume that the remark "up to 25" refers to additional trees per acre, rather than the total number of trees per acre.