A model for consumers’ response to advertising is given by N(x) = 2000 + 500 ln (x), x ≥ 1 where N(x) represents the number of units sold and x the amount spent on advertising in thousands of dollars. Find N‘(x) Find N’(10) Is the number of units sold increasing or decreasing when $10,000 is spent on advertising?
A model for consumers’ response to advertising is given by N(x) = 2000 + 500 ln (x), x ≥ 1 where N(x) represents the number of units sold and x the amount spent on advertising in thousands of dollars. Find N‘(x) Find N’(10) Is the number of units sold increasing or decreasing when $10,000 is spent on advertising?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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A model for consumers’ response to advertising is given by
N(x) = 2000 + 500 ln (x), x ≥ 1
where N(x) represents the number of units sold and x the amount spent on advertising in thousands of dollars.
- Find N‘(x)
- Find N’(10)
- Is the number of units sold increasing or decreasing when $10,000 is spent on advertising? Use a complete sentence to answer the question.
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