Tye-Dye Sports manufactures custom long boards and has fixed costs of $945.00 per week and total costs of $8,070.00 if the weekly output is 15 boards.

1.a. Write the equation for the cost function, C(x) where x is the number of long board.

b. If the boards sell for $546.00 a piece, write the equation for the revenue function, R(x).

c. Write the profit function, P(x).

d. How many long boards will the company need to manufacture and sell each week to break even?

Explain why the graph of the total cost function and the graph of the revenue function will always be positive (above the x-axis) and is always increasing as you go from left to right on the graph.

3. Explain why the graph of the profit function can increase or decrease, as you move from left to right.

4. Explain why the graph of the profit function can fall below the x-axis and what that would mean if it did.