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gladu [14]
3 years ago
5

Quick Fix Inc. repairs bikes. The company’s revenue equals R(h) = 400 + 220h dollars for every h hours spent repairing bikes. Th

e company’s overhead cost equals C(h) = 20h2 + 160 dollars.
After how many hours does the company break even?
Mathematics
2 answers:
professor190 [17]3 years ago
3 0
The company will break even when the cost is equal to the revenue.
C(h)=R(h) \\
20h^2+160=400+220h \\
20h^2-220h+160-400=0 \\
20h^2-220h-240=0 \ \ \ \ \ \ \ \ \ \ \ |\div 20 \\
h^2-11h-12=0 \\
h^2+h-12h-12=0 \\
h(h+1)-12(h+1)=0 \\
(h-12)(h+1)=0 \\
h-12=0 \ \lor \ h+1=0 \\
h=12 \ \lor \ h=-1


The number of hours must be a positive number, so h=12.

The company breaks even after 12 hours.

Juli2301 [7.4K]3 years ago
3 0

Answer:

12 hours

Step-by-step explanation:

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