A company manufactures and sells Halloween candy each year. Output x is measured in tons of candy. The revenue and cost functions are

R(x)=110x−x2

C(x)=2700+3x

Both revenue and cost are measured in dollars.

a. Find the profit function P(x) for this company.

P(x)=

b. Find the x-intercepts of the revenue function.

The x-intercepts of R(x) are (0,0) and .

c. Find the x coordinate of the vertex of the revenue function R(x), for this company.

The x coordinate of the vertex is