Max lost his scholarship after failing a class and decided to make money playing his $990 fiddle as a street musician. He breaks a string every hour that costs $1 to replace. Given he earns $12 per hour playing, the cost, revenue, and profit functions were defined as C(x) = 990 + x, R(x) = 12x, and P(x) = 11x - 990. To break even, it was calculated that Max needs to play for 90 hours.

1. Max Well, a junior college student, lost his scholarship after receiving a D in his "Introductory
Electromagnetics" course. He decided to buy a fiddle and make some money as a street
musician. His fine instrument cost him $990.00. Max is a very passionate player and on average
he breaks 1 string each hour. He can buy strings for $1.00 each.
Find the cost function C(x) associated with Max playing the fiddle for hours.
c(X)=???
If on average he makes $12.00 per hour write the revenue function R(x) for the amount of
revenue gained from hours of playing.
R(X)=???
Find the profit function p(X) for the amount of profit gained from hours of playing.
p(x)=????
How many hours will Max need to work to break even? ???hours
Solution
C(x) = 990 + 1*x = 990 + x
R(x) = 12*x = 12x
P(x) = R(x) - C(x) = 12x - 990 - x = 11x - 990
to break even: P(x) = 0
11x = 990 --> x = 90 hours