Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 4 - Calculating the Derivative - 4.1 Techniques for Finding Derivatives - 4.1 Exercises - Page 208: 47

Answer

Marginal cost is the change in total cost of production in a business when producing one more unit of a product. It is the instantaneous rate of change of the cost.

Work Step by Step

Marginal cost is calculated by dividing the change in total cost by the change in quantity. $$Marginal\;cost=\frac{Change\;in\;total\;cost}{Change\;in\;quantity}$$ Example: If at first, a factory produces a batch of $50$ units at a cost of $\$1000$, then it later produces an additional batch of $50$ units at a cost of $\$900$. $$Marginal\;cost=\frac{900}{50} =\$18\;per\;unit$$ Note: The difference between the cost of producing the first batch and the additional batch is the fixed cost which remains constant.
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