Sunday, April 15, 2012

Optimization Problem!?

An electrician who specializes in major industrial work only sets his price according to demand. Previous experience indicates that his weekly revenue has roughly the following functional form: 372x – 5x2 where x stands for the number of hours worked per week. His cost is $125 for house calls which includes his overhead and $55 per hour for his labor. How many hours should he work to maximize his profit?

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