#### To determine

**To represent:**

What does ∫10005000R'xdx represent.

#### Answer

The given integral represents the increase in revenue when the number of units sold increases from 1000 units to 5000 units.

#### 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).

By using the Net Change Theorem,

∫10005000R'xdx=R5000-R1000

The integral ∫10005000R'xdx represents the revenue increase when the number of units sold increases from 1000 units to 5000 units.

**Conclusion:**

Therefore, the integral ∫10005000R'xdx represents the revenue increase when the number of units sold increases from 1000 units to 5000 units.