The cost function at production x is defined as $$C(x) = 3x^3 - x + 2$$ and sale function at A cost x is defined as $$S(x) = \left(\frac{A}{x^{\frac{1}{3}}}\right)$$. Which of the following is true?

A

Min sales = $$\left(\frac{3}{4}\right)^{\frac{2}{3}} A$$

B

Min sales = $$\left(\frac{9}{2}\right)^{\frac{2}{3}} A$$

C

Max sales = $$\left(\frac{3}{4}\right)^{\frac{2}{3}} A$$

D

Max sales = $$\left(\frac{9}{2}\right)^{\frac{2}{3}} A$$