Bates Marshall

07/19/2023 · High School

A hotdog vendor must pay a monthly fee to operate a food cart in the city park. The cost in dollars of selling \( x \) hundred hotdogs in a month can be approximated by \( \mathrm{C}(\mathrm{x})=150+60 \mathrm{x} \) Complete parts (a) through ( d\( ) \) below. Interpret these results, choose the correct answer below. Take the sales level of 1000 hotdogs as an example. Select the correct choice below and fill in the answer box to complete your choice. A. At a sales level of 1000 hotdogs, the average cost is \( \$ 75 \) per 100 hotdogs. (c) Find the marginal average-cost function. The marginal average-cost function is \( \bar{C}^{\prime}(x)=\square \) (d) Find and interpret the marginal average cost at sales levels of 1000 hotdogs and 5500 hotdogs. The marginal average cost at sales levels of 1000 hotdogs is \( \$ \square / 100 \) hotdogs) \( { }^{2} \). (Round to the nearest cent as needed.)