Suppose that a highway is governed by a use fee charged to motorists that is based on congestion,operation and maintenance.The total traffic t is used to determine the cost of 5t2 + 7t.What is the marginal cost?
A)12
B)5t + 7
C)10
D)10t + 7

Question

Quizplus · Accepted Answer

To find the marginal cost, we need to take the derivative of the cost function with respect to traffic t:

C(t) = 5t^2 + 7t
C'(t) = 10t + 7

Therefore, the marginal cost is 10t + 7. The correct choice is D.

Suppose That a Highway Is Governed by a Use Fee