A company has a cost function C(Q) = 2 Q^2 + 10Q + 50. What is the marginal cost of producing the 5the one of output? - IQ786

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A company has a cost function C(Q) = 2 Q^2 + 10Q + 50. What is the marginal cost of producing the 5the one of output?

A company has a cost function C(Q) = 2 Q^2 + 10Q + 50. What is the marginal cost of producing the 5the one of output?

$20

$30

$40

$50

Explanation

To find the marginal cost (MC), you need to take the derivative of the cost function with respect to quantity (Q).
Given cost function: C(Q) = 2Q^2 + 10Q + 50

Take the derivative of C(Q) with respect to Q:

MC(Q) = dC/dd = 4Q + 10

Now, plug in the value Q = 5:

MC(5) = 4(5) + 10 = 20 + 10 = $30.