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8th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781305266636

Chapter 8.4, Problem 5E

Textbook Problem

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A demand curve is given by *p* = 450/(*x* + 8). Find the consumer surplus when the selling price is $10.

To determine

**To calculate:** The consumer surplus when the selling price is $10.

**Given information:**

The equation of demand curve is

Selling price is

**Calculation:**

Show the demand function as follows:

Substitute

Substitute 0 for *x* in Equation (1).

Sketch the region for the calculated values and identify the consumer surplus as shown in Figure 1.

Refer to Figure 1.

The shaded area denoted as consumer surplus.

Find the consumer surplus as shown below.

Substitute 37 for *x*, *p* in Equation (2)

Single Variable Calculus

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