o (dini nobon 3. A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor. a. Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month. b. Write a linear revenue function representing the revenue R(x) for holding x private lessons for the month. c. Write a linear profit function representing the profit P(x) for holding x private lessons for the month. bni e d. Determine the number of private lessons that must be held for the studio to break-even.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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3. A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and
advertising. The studio charges $60 for each private lesson, but has a variable cost for each
lesson of $35 to pay the instructor.
a. Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for
a given month.
b. Write a linear revenue function representing the revenue R(x) for holding x private lessons for
the month.
c. Write a linear profit function representing the profit P(x) for holding x private lessons for the
month.
d. Determine the number of private lessons that must be held for the studio to break-even.
Transcribed Image Text:3. A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson, but has a variable cost for each lesson of $35 to pay the instructor. a. Write a linear cost function representing the cost to the studio C(x) to hold x private lessons for a given month. b. Write a linear revenue function representing the revenue R(x) for holding x private lessons for the month. c. Write a linear profit function representing the profit P(x) for holding x private lessons for the month. d. Determine the number of private lessons that must be held for the studio to break-even.
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