Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given
![Trees = 24](https://tex.z-dn.net/?f=Trees%20%3D%2024)
![Yield = 104](https://tex.z-dn.net/?f=Yield%20%3D%20104)
![x \to additional\ trees](https://tex.z-dn.net/?f=x%20%5Cto%20additional%5C%20trees)
So, we have:
![Trees = 24 + x](https://tex.z-dn.net/?f=Trees%20%3D%2024%20%2B%20x)
![Yield = 104 - 2x](https://tex.z-dn.net/?f=Yield%20%3D%20104%20-%202x)
Required
The additional trees to be planted for maximum yield
The function is:
![f(x) = Trees * Yield](https://tex.z-dn.net/?f=f%28x%29%20%3D%20Trees%20%2A%20Yield)
![f(x) = (24 + x) * (104 - 2x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%2824%20%2B%20x%29%20%2A%20%28104%20-%202x%29)
Open bracket
![f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x](https://tex.z-dn.net/?f=f%28x%29%20%3D%2024%20%2A%20104%20%2B%20104x%20-%2024%20%2A%202x%20-%20x%20%2A%202x)
![f(x) = 2796 + 104x - 48x - 2x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202796%20%2B%20104x%20-%2048x%20-%202x%5E2)
![f(x) = 2796 + 56x - 2x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202796%20%2B%2056x%20-%202x%5E2)
Rewrite as:
![f(x) = - 2x^2 + 56x + 2796](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%202x%5E2%20%2B%2056x%20%2B%202796)
Differentiate
![f'(x) = -4x + 56](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20-4x%20%2B%2056)
Equate
to 0 and solve for x to get the maximum of x
![-4x + 56 = 0](https://tex.z-dn.net/?f=-4x%20%2B%2056%20%3D%200)
![-4x =- 56](https://tex.z-dn.net/?f=-4x%20%3D-%2056)
Divide by -4
![x =14](https://tex.z-dn.net/?f=x%20%3D14)
The farmer should plant 14 additional trees, for maximum yield.
Answer:
1.5 for each song.
Step-by-step explanation:
subtract $6.99 by $21.99 = 15 divided by 10 = 1.5
Answer:
3:6:9
Step-by-step explanation:
1/1+2+3 × 90 = 15
2/1+2+3 × 90 = 30
3/1+2+3 × 90 = 45
Answer:
Thanksssssssssssssssssssss
Answer:
1 is 1600
Step-by-step explanation:
Because 40 people and each person shakes each other hands so its 1600