Bea T. Howen, a sophomore college student, lost her scholarship after receiving

Question

Bea T. Howen, a sophomore college student, lost her scholarship after receiving a D in her "Music Appreciation" course. She decided to buy a snow plow to supplement her income during the winter months. It cost her $7950.00. Fuel and standard maintenance will cost her an additional $8.00 for each hour of use.
Find the cost function C(x) associated with operating the snow plow for x hours.
C(x)=
If she charges $34.50 per hour write the revenue function R(x) for the amount of revenue gained from x hours of use.
R(x)=
How many hours will she need to work to break even? hours

Explanation / Answer

Cost function C(x) = FC + VC = 7950 + 8*x

Revenue function R(x) = P*x = 34.50*x

Breaken hours imply R(x) = C(x)

7950 + 8*x = 34.5x

x = 300 Hours

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