Use long multiplication to evaluate.
225000000
A = acres, s = square miles.
Replace s with 7.5 and multiply:
640 * 7.5 = 4,800 acres.
The answer is the last choice.
Answer:
![C(x) = \frac{x^4}{4}-3x^2+3,000](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cfrac%7Bx%5E4%7D%7B4%7D-3x%5E2%2B3%2C000)
Step-by-step explanation:
The marginal cost function, C'(x), is the derivate of the cost function, C(x).
Therefore, we can obtain the cost function by finding the integral of the marginal cost function:
![C(x) = \int\ {C'(x)} \, dx \\C(x) = \int\ {(x^3-6x)} \, dx \\C(x) = \frac{1}{4} x^4-3x^2+a](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cint%5C%20%7BC%27%28x%29%7D%20%5C%2C%20dx%20%5C%5CC%28x%29%20%3D%20%5Cint%5C%20%7B%28x%5E3-6x%29%7D%20%5C%2C%20dx%20%5C%5CC%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E4-3x%5E2%2Ba)
Where 'a' is a constant and represents fixed costs. If fixed costs are $3,000, the cost function is:
![C(x) = \frac{x^4}{4}-3x^2+3,000](https://tex.z-dn.net/?f=C%28x%29%20%3D%20%5Cfrac%7Bx%5E4%7D%7B4%7D-3x%5E2%2B3%2C000)