The audubon society at enormous state university (esu) is planning its annual fund-raising "eatathon." the society will charge students $1.10 per serving of pasta. the society estimates that the total cost of producing x servings of pasta at the event will be

c(x) = 310 + 0.10x + 0.002x2 dollars.
(a) calculate the marginal revenue r'(x) and profit p'(x) functions.
r'(x)=
p'(x)=

(b) compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 200 servings of pasta.
revenue- $
profit- $
marginal revenue- $ per additional plate
marginal profit- $ per additional plate
interpret the results.
the approximate (profit of loss? ) from the sale of the 201st plate of pasta is $

(c) for which value of x is the marginal profit zero?
x=
interpret your answer.
the graph of the profit function is a parabola with a vertex at x= so the loss is at a minimum when you produce and sell plates.