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Interpreting the Derivative as a Rate of Change

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A company’s profit, P(x)P(x), in thousands of dollars, is a function of the number of units produced, xx, in hundreds. Which of the following is the best interpretation of P′(15)P'(15)?

A

The total profit earned, in thousands of dollars, from producing the first 1500 units

B

The rate at which profit changes with respect to production level, in thousands of dollars per hundred units, when producing 1500 units

C

The profit earned by the company, in thousands of dollars, when producing 1500 units

D

The average profit per unit, in thousands of dollars per hundred units, when producing 1500 units

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