Chapter 8.4, Problem 2E

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8th Edition

James Stewart

ISBN: 9781305270336

Textbook Problem

A company estimates that the marginal revenue (in dollars per unit) realized by selling *x* units of a product is 48 − 0.0012*x*. Assuming the estimate is accurate, find the increase in revenue if sales increase from 5000 units to 10,000 units.

To determine

**To calculate:** The increase in revenue if sales increase from 5,000 units to 10,000 units.

Explanation

**Given information:**

The marginal revenue by selling *x* units of product is

The number of units varies from

**Calculation:**

Apply Net change Theorem as follows:

The integral of a rate of change is the net change

Here, the lower limit is *a* and the upper limit is *b*.

Apply Net Change Theorem to calculate the increase in revenue if sales increase from 5,000 units to 10,000 units.

Modify Equation (1) for calculation of revenue.

Substitute 5,000 units for *a*, 10,000 units for *b*, and

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