9) The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon."...
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Accounting
9)
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) = 350 + 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 (in $).
revenue$_________
profit$__________
marginal revenue$__________ per additional plate
marginal profit$____________ per additional plate
Interpret the results.
The approximate ---Select--- (profit, loss )from the sale of the 201st plate of pasta is $__________ .
(c)
For which value of x is the marginal profit zero?
x = ________ plates
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.
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