   Chapter 9.6, Problem 43E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Demand Suppose that the demand tor q units of a product priced at $p per unit is described by p = 200 , 000 ( q + 1 ) 2 (a) What is the rate of change of price with respect to the quantity demanded when q = 49?(b) Interpret your answer to part (a). (a) To determine To calculate: The rate of change of price with respect to the quantity demanded when q=49. Suppose that the demand for q units of a product priced at$p per unit is described by p=200,000(q+1)2.

Explanation

Given Information:

The demand for q units of a product priced at $p per unit is described by p=200,000(q+1)2. Formula used: The power rule of differentiation, ddxxn=nxn1 Calculation: Consider the provided function, p=200,000(q+1)2 Rewrite the function using 1an=an, p=200,000(q+1)2 Consider (q+1) to be u, p=200,000u2 Differentiate both sides with respect to p, dpdq=ddq(200,000u2) Simplify using the power rule, dpdq=200,000(2)u21dudq=400,000u3dudq Substitute (q+1) for u, dpdq=200,000 (b) To determine The interpretation of the rate of change of price with respect to the quantity demanded when q=49. Suppose that the demand for q units of a product priced at$p per unit is described by p=200,000(q+1)2.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### 64x8y36

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### True or False: is conservative.

Study Guide for Stewart's Multivariable Calculus, 8th

#### True or False: converges absolutely.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Self Check Expand: (p+q)3.

College Algebra (MindTap Course List) 