Answer to Question #209217 in Calculus for Akhona Klanisi

Question

Question 10

A Firm's marginal cost function is Q² + 2Q + 4

Find the total cost function.

a. ^Q3_/3 + Q² + 4 + C

b. ^Q3_/3 + Q² + C

c. ^Q3_/3 + Q² + 4Q + C

d. ^Q3_/3 + Q² + 100

Answer 1

$$MC=Q^2+2Q+4$$

$$TC=\int MCdQ=\int (Q^2+2Q+4)dQ$$

$$=\dfrac{Q^3}{3}+Q^2+4Q+C$$

c. $\dfrac{Q^3}{3}+Q^2+4Q+C$