Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results.

Point (50,166.67)

Step-by-step explanation:

Incomplete question.

The Revenue function R(x) is

First, we calculate the first derivative

The second derivative is

The point of disminihing returns for the function happens when the second derivative is equal to zero. This is the point where the concavity of the function changes. This happens at x=50:

At point (50,166.67) the function of revenue will be in its point of diminishing returns.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )