12. The function P(b) = 5.56 - 2500 represents the profit in dollars for selling b books. a) (3 points) Given a Domain for P(b) of [0, 5000] find the range for the model written in interval notation. Answers without work will receive half-credit. b) (4 points) Find an inverse for this model. Show all the steps. Answers without work will receive half-credit. 10 C) (3 points) Estimate the profit from selling 1000 books. Answers without work will receive half-credit. d) (3 points) Estimate the number of books you would need to sell to make $5000 profit. Answers without work will receive half-credit