The price function for a certain commodity is p(x)= -x^2+6x+9. The cost to manufacture this commodity is given by the function c(x)- 9x+10.

1) What is the revenue function and marginal revenue function?

2) What is the profit function and marginal profit function?

3) What is the maximum profit and the value of x that determines that profit?

4) What is the price to produce the quantity x when producing at maximum profit?

Thank you!