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.

The cost function is given as 5t² + 7t.

Taking the derivative with respect to t:

dC/dt = 10t + 7

Therefore, the marginal cost is 10t + 7.

Hence, the correct choice is D.

Suppose That a Highway Is Governed by a Use Fee