The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eat-a-thon." The society will charge students 45¢ per serv- ing of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 15¢ per serving, and the $ 350 cost of renting the facility for the evening.

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The Audubon Society at Enormous State University
(ESU) is planning its annual fund-raising "Eat-a-thon."
The society will charge students 45¢ per serv- ing of
pasta. The only expenses the society will incur are the
cost of the pasta, estimated at 15¢ per serving, and the $
350 cost of renting the facility for the evening.
a. Let q represent the quantity made and sold (number of
servings of pasta). Write down the associated cost,
revenue, and profit functions in dollars.
C(q) =
dollars.
Preview
R(q)
dollars.
Preview
P(q)
dollars.
Preview
b. How many servings of pasta must the Audubon
Society sell to break even?
c. What profit (or loss) results from the sale of 1650
servings of pasta?
d. How many servings of pasta, at least, must be sold to
make profit?
Transcribed Image Text:The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eat-a-thon." The society will charge students 45¢ per serv- ing of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 15¢ per serving, and the $ 350 cost of renting the facility for the evening. a. Let q represent the quantity made and sold (number of servings of pasta). Write down the associated cost, revenue, and profit functions in dollars. C(q) = dollars. Preview R(q) dollars. Preview P(q) dollars. Preview b. How many servings of pasta must the Audubon Society sell to break even? c. What profit (or loss) results from the sale of 1650 servings of pasta? d. How many servings of pasta, at least, must be sold to make profit?
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