Mcfarlane Carrillo

03/28/2024 · Middle School

17. Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when \( x=a \). c. Interpret the values obtained in part (b). \( C(x)=1200+0.2 x, 0 \leq x \leq 5000, a=2800 \) a. The average cost function is \( \overline{\mathrm{C}}(\mathrm{x})=\square \) The marginal cost function is \( \mathrm{C}^{\prime}(\mathrm{x})=\square \) b. The average cost when \( x=2800 \) is \( \$ \square \). The marginal cost when \( x=2800 \) is \( \$ \square \). c. The average cost per item is about \( \$ \square \) to two decimal places as needed.) (Round to two decimal places as needed.) The cost of producing the two decimal places as needed.) (Round to two decimal places as needed.)