   Chapter 4.4, Problem 51E

Chapter
Section
Textbook Problem

# In Section 3.7 we defined the marginal revenue function R ′ ( x ) as the derivative of the revenue function R ′ ( x ) , where x is the number of units sold. What does ∫ 1000 5000 R ′ ( x ) d x represent?

To determine

To represent:

What does 10005000R'xdx represent.

Explanation

1) Concept:

The Net Change Theorem: The integral of a rate of change is the net change.

abF'xdx=Fb-Fa

2) Given:

10005000R'xdx

3) Calculation:

Consider the integral,

10005000R'xdx, where R'x represents the marginal revenue function R(x)

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