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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
b. Write a linear revenue function representing the revenue
c. Write a linear profit function representing the profit
d. Determine the number of private lessons that must be held for the studio to make a profit.
e. If 82 private lessons are held during a given month, how much money will the studio make or lose?

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