A model for consumers' response to advertising is given by the equation N (a) = 2000+500 ln (a) Where N (a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.

How many units are sold when $1000 is spent on advertising?

Question

Clare Brady

Mathematics

28 October, 19:12

A model for consumers' response to advertising is given by the equation N (a) = 2000+500 ln (a) Where N (a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.

How many units are sold when $1000 is spent on advertising?

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Answers (1)

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Nasir Blevins · Answer 1

Therefore 2000 units are sold when $1000 is spent on advertising.

Step-by-step explanation:

Given that,

The equation of a model for consumer's response to advertising is

N (a) = 2000+500 ln (a)

where a is the amount spent on advertising, in thousand of dollars and a≥1, N (a) is the amount of units sold.

$1000 is spent on advertising.

Since a is in thousand of dollars.

∴a=1

Now plug a=1 in the given model

N (a) = 2000+500 ln (1)

⇒N (a) = 2000+500*0 [ ∵ln (1) = 0 ]

⇒N (a) = 2000

Therefore 2000 units are sold when $1000 is spent on advertising.

A model for consumers' response to advertising is given by the equation N (a) = 2000+500 ln (a) Where N (a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.How many units are sold when $1000 is spent on advertising?

A model for consumers' response to advertising is given by the equation N (a) = 2000+500 ln (a) Where N (a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.

How many units are sold when $1000 is spent on advertising?