Answer to Question #311665 in Macroeconomics for salahadin ali

Question

Find the marginal cost functions for each of the following average cost functions. a) AC = 1.5Q + 4 + 46 𝑄 b) AC = 160 𝑄 + 5 - 3Q + 2Q2

Answer 1

a)

$AC=47.5Q+4,$

$TC=AC\cdot Q=47.5Q^2+4Q,$

$MC=TC'=95Q+4,$

b)

$AC=2Q^2+157Q+5,$

$TC=AC\cdot Q=2Q^3+157Q^2+5Q,$

$MC=TC'=6Q^2+314Q+5.$