Suppose that the total cost and the total revenue, in dollars, for producing sand the sale of x snow blowers are the following functions when 0 x 1,000 and:

C(x)=20x+210 R(x)=190x-0.2x²

a) Find the profit function P(x)=R(x)-C(x)

P(x)=

b) Find the marginal profit at a production level of 100 snow blowers.

c) Find the average profit per unit at a production level of 100 snow blowers.

d) Find the marginal average profit at a production level of 100 snow blowers.

e) Determine the exact cost of producing the 100th snow blower.