A model for consumers' response to advertising is given by the equation N(a)=2100+470ln(a) Where N(a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, & a≥1.

(a)5347 Units

(b)

(c)The maximum point of N(a)=470. The minimum point does not exist.

Step-by-step explanation:

a) How many units were sold after spending $1,000 on advertising?

N(a)=2100+470ln(a)

N(1000)=2100+470ln(1000)

           =2100+3246.6

           =5346.6 ≈ 5347 Units

b) We are required to find the derivative of N(a)

N(a)=2100+470ln(a)

c) Find the maximum and minimum values of  N(a) if they exist.

The maximum and/or minimum value of N(a) is the point at which the slope or derivative of N(a)=0.

Given that

The maximum point of N(a)=470. The minimum point does not exist.

12.5 feet

step-by-step explanation:

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5