Answer to Question #259724 in Economics of Enterprise for Via

Question

Given the Total cost Function, TC = 5,600 + 27Q - 6Q² - .5Q³, solve for AC, MC, AVC and AFC

Answer 1

$Given;\\ TC=5600+27Q−6Q^2−0.5Q^3\\ AC=\frac{TC}{Q}\\ =\frac{5600}{Q}+27−6Q−0.5Q^2\\ MC=\frac{dTC}{dQ}\\ =27−12Q−1.5Q^2\\ AVC=\frac{VC}{Q}\\ =\frac{27Q−6Q^2−0.5Q^3}{Q}\\ =27−6Q−0.5Q^2\\ AFC=\frac{FC}{Q}\\ =\frac{5600}{Q}$