   Chapter 9.2, Problem 39E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Sales volume Suppose that the weekly sales volume (in thousands of units) for a product is given by y = 32 ( p + 8 ) 2 / 5 where p is the price in dollars per unit. Is this function continuous(a) for all values of p 2 ? (b) at p = 24?(c) for all p ≥   0 ?(d) What is the domain for this application?

(a)

To determine

Whether the function, y=32(p+8)25, is continuous for all values of p, where p is the price of the commodity in per unit dollars.

Explanation

Given Information:

The weekly sales volume of a product (in thousands of units), is represented by the function, y=32(p+8)25.

Explanation:

Consider the provided function,

y=32(p+8)

(b)

To determine

Whether the function, y=32(p+8)25, is continuous at p=24, where p is the price of the commodity in per unit dollars.

(c)

To determine

Whether the function, y=32(p+8)25, is continuous at p0, where p is the price of the commodity in per unit dollars.

(d)

To determine

The domain of the function, y=32(p+8)25, where p is the price of the commodity in per unit dollars.

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