A financial department of a company determines that the function below best estimates the price-demand function for selling x million face masks.

p(x) = 140040x 1x30

a) Write the company's revenue function and indicate the domain of the revenue function. Explain why the domain makes sense within the context of the problem. Without the context that the function represents revenue, what would the domain of the function be?

b) Fill out the table for computing the revenue to the nearest million dollars.

You do not have to compute the values by hand. Simply write out what you would plug into the calculator.

x(millions)

R(million $)

1

5

10

15

20

25

30

c) Plot the points on a graph and connect the points. Clearly label the points, axes, and tick

marks for the graph.