   Chapter 9.2, Problem 41E ### 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 for a product is defined by the equation p = 200 , 000 ( q + 1 ) 2 where p is the price and q is the quantity demanded.(a) Is this function discontinuous at any value of q? What value?(b) Because q represents quantity, we know that q   ≥ 0 . Is this function continuous for q   ≥ 0 ?

(a)

To determine

Whether the function, p=200000(q+1)2, is discontinuous at any value of q, where q is the quantity demanded and p is the price.

Explanation

Given Information:

The demand of product is represented by the function, p=200000(q+1)2.

Explanation:

Consider the provided function,

p=200000(q+1)2

Since, the function is a rational function, thus, the function will be continuous at all points except the points where the value of the denominator is zero

(b)

To determine

Whether the function, p=200000(q+1)2, is continuous at q0, where q is the quantity demanded and p is the price.

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