Triangles A B C and A double-prime B double-prime C double-prime connect at point C. Triangle A B C is rotated and then made sma
1 answer:
You might be interested in
Let 
the length and 
the width. By the ratio of the sides:
Now, we'll find the perimeter p. We'll use the formula below:
The area of a rectangle is
. Then:
Now, we'll find the perimeter p. We'll use the formula below:
The area of a rectangle is
Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:
Next, we maximize F(x) by taking its derivatives and solving for its critical point.
It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.