Beck Fuentes

03/11/2023 · Junior High School

The total cost (in hundreds of dollars) to produce \( x \) units of perfume is \( C(x)=\frac{7 x-1}{6 x+5} \) (a) Find the average cost function. (b) Find the marginal average cost function. (c) Find the average cost and the marginal average cost for a production level of 5 units. Interpret your results. (a) The average cost function is \( \overline{\mathrm{C}}(x)=\frac{7-\frac{1}{x}}{6 x+5} \). (b) The marginal average cost function is \( \bar{C}^{\prime}(x)=\frac{-42 x^{2}+12 x+5}{\left(6 x^{2}+5 x\right)^{2}} \). (c) The average cost for 5 units is \( \$ \square \) per unit. The marginal average cost for 5 units is \( \$ \square \). (Round to the nearest cent as needed.)