Data: The table below shows price-demand and total cost data for the production of projectors. In the table p is the wholesale price (in dollars) of a projector for an annual demand of X projectors and C is the total cost (in dollars) of producing X projectors.

X P C

1943 1035 900

3190 581 1130

4570 405 1241

6490 124 1800

7330 85 1620

Revenue:

18. What are the break-even points?

19. Using interval notation, describe the range of units that will keep revenue positive.

Profit:

20. What is the profit function P(x)? Use desmos to graph the profit function p(x) along with the revenue function R(x) and the cost function C(x).

21. Using the break-even points found in Question 18, what is the profit at these points?

22. Using interval notation, describe the range of units where profit is positive.

23. What number of units will give us the maximum profit?

24.What is the maximum profit?