In training to run a half marathon, Jenny ran 2/5 hours on Tuesday, 11/6 hours on
1 answer:
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Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
28
Therefore, the number of trees per acre to maximize the harvest is 28
Answer:
There are 3060 apples in the shipment.
Step-by-step explanation:
Given:
Number of boxes of apples = 15
Each boxes contains = 17 bags of Apples
hence 15 boxes will contains = Number of bags of apples in 15 boxes.
By Using Unitary Method we get;
Number of bags of apples in 15 boxes =
Hence 15 boxes contains = 255 bags of apples.
Also Given:
Each bag contains = 12 apples
255 bags contains = Number of apples in 255 bags
By Using Unitary Method we get;
Number of apples in 255 bags =
Hence 255 bags of apples contains = 3060 apples.
Hence There are 3060 apples in the shipment.