(a)
To calculate: The linear cost function to hold x private lessons for a given month, if the fixed monthly cost of $1500 and variable cost for each lesson of $35.
(b)
To calculate: The linear revenue function to hold x private lessons for a given month, if the fixed monthly cost of $1500 and studio charges $60 for each private lesson.
(c)
To calculate: The linear profit function to hold x private lessons for a given month, if As solved above, the cost function,
(d)
To calculate: The number of private lessons that must be held for the studio to make a profit, if the profit function is
(e)
To calculate: The amount money the studio stands to make or lose, if 82 private lessons are held and the profit function is
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