Chapter 14, Problem 26RE

### Mathematical Applications for the ...

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

Chapter
Section

### Mathematical Applications for the ...

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

# Advertising and sales The number of units of sales of a product, S, is a function of the dollars spent for advertising, A, and the products price, p. Suppose S   = f ( A , p ) is the function relating these quantities.(a) Explain why ∂ S ∂ A > 0 .(b) Do you think ∂ S ∂ p is positive or negative? Explain.

(a)

To determine

The reason for SA>0 if S is the number of units of sales of a product which is a function of A, the dollars spent for advertising and the product price p.

Explanation

Given Information:

The provided function is S=f(A,p), where S is a function of the dollars spent for advertising, A, and the productâ€™s price, p.

Explanation:

The provided function is S=f(A,p), where the number of units of sales of a product S is a function of the dollars spent for advertising, A, and the productâ€™s price, p.

For a function f(x,y), the partial derivative of f with respect to x</

(b)

To determine

Whether Sp is positive or negative if the function is S=f(A,p), where S is a function of the dollars spent for advertising, A, and the product’s price, p.

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