Question

The sales of laptop computers t years after a particular model is introduced is given by the function y = 6250 ln (400t − 35), where y is the number of laptop computers sold.

Answer 1

See explanation below.

Explanation:

Assuming the following function:

`y =6250 ln(400t-35)`

Where y represent the sales and t the years after a particular model is introduced.

For this case if we find the domain for this function we have this:

`400t -35>0` Since the neatural log for negative numbers or 0 is not defined.

So then
`t >(35)/(300) =(7)/(80)`

And the range on this case is all the possible reals.

The sales are equal to 0 when:

`ln(400t-35) = 0`

If we exponential both sides we got:

`400t -35 = 1`

`t = (36)/(400)=(9)/(100)`

So then the x intercept is
`((9)/(100), 0)`. We don't have y intercept since the function not touch the y axis.

And we don't have a relative maximum or minimum since the function is increasing over the interval of all the reals.

The plot of the function is on the figure attached.