Javier is buying food in the lunch line . The tray of salad plates is 3/8 full . The tray of fruit plates is 3/4 full . Which tr
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<h3>15 more trees should be a planted to maximize the total output of apples in the orchard.</h3>
Step-by-step explanation:
Here, the total number of trees planted = 50 apple trees
The produce of each tree = 800 apples
So, the total apples = Total trees x Produce of each tree = 50 x 800
= 40,000
Let us assume the additional trees planted = m
So, now the total number of trees now = 50 + m
As produce decrease 10 times per tree = 10 m
So, the average produce per tree = 800 - 10 m
So, the new produce P = (50+m)(800-10 m)
or, P = (40000 - 500 m + 800 m -10 m²)
⇒P = -10 m² +300 m + 40000
or P = -m² + 30 m + 4000
Maximum occurs when m =
So, the Value of P is maximum when m = 15
Hence, 15 trees should be added to the existing orchard in order to maximize the total output of trees.