The demand function for a particular product your company sells is q=p^2+33p+9 where(18<p<28). The associated cost function is C(q)=9q+100.

1. What is the cost function as a function of price?

2. What is the revenue function as a function of price?

3. What is the profit function as a function of price?

4. What is the marginal cost function as a function of price?

5. What is the marginal revenue function as a function of price?

6. What is the marginal profit function as a function of price?