Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.

Question

Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.

The marginal average cost function is C′(x)= ______________

Answer 1

Marginal average Cost function: (C(x)/x)' = d/dx(144/x + 5.8) = - 144/x²

Marginal average Revenue fubnction: (R(x)/x)' = d/dx(9 - 0.14x) = - 0.14