Question

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?

Answer 1

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

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.