Answer:
No of course not
Step-by-step explanation:
14x2=24
20x3=60
Answer:
7 units
Step-by-step explanation:
Given
![C(x) = 2x + 54 + \frac{98}{x}](https://tex.z-dn.net/?f=C%28x%29%20%3D%202x%20%2B%2054%20%2B%20%5Cfrac%7B98%7D%7Bx%7D)
Required
The units that minimize the average cost
![C(x) = 2x + 54 + \frac{98}{x}](https://tex.z-dn.net/?f=C%28x%29%20%3D%202x%20%2B%2054%20%2B%20%5Cfrac%7B98%7D%7Bx%7D)
Differentiate
![C' = 2 + 0 - 98x^{-2}](https://tex.z-dn.net/?f=C%27%20%3D%202%20%2B%200%20-%2098x%5E%7B-2%7D)
![C' = 2 - 98x^{-2}](https://tex.z-dn.net/?f=C%27%20%3D%202%20-%2098x%5E%7B-2%7D)
Equate to 0 to solve for x
![0 = 2 - 98x^{-2}](https://tex.z-dn.net/?f=0%20%3D%202%20-%2098x%5E%7B-2%7D)
Collect like terms
![98x^{-2} = 2](https://tex.z-dn.net/?f=98x%5E%7B-2%7D%20%3D%202)
Divide by 98
![x^{-2} = \frac{1}{49}](https://tex.z-dn.net/?f=x%5E%7B-2%7D%20%3D%20%5Cfrac%7B1%7D%7B49%7D)
Rewrite as:
![\frac{1}{x^2} = \frac{1}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E2%7D%20%3D%20%5Cfrac%7B1%7D%7B49%7D)
Take square roots of both sides
![\frac{1}{x} = \±\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5C%C2%B1%5Cfrac%7B1%7D%7B7%7D)
Take multiplicative inverse of both sides
![x = \±7](https://tex.z-dn.net/?f=x%20%3D%20%5C%C2%B17)
Only positive value will produce critical value. Hence, 7 units will produce the minimum average cost
Answer:
you would double it A 0 12.50 25.00
B 0 25 50
Step-by-step explanation:
not 100% hope > helped