Optimization/Minimizing Total Expense
A truck driving on the Interstate averages a fuel efficiency of 4 miles per gallon when traveling at 50mph. The truck looses a tenth of a mile per gallon in fuel efficiency for each mile per hour increase in speed. Fuel costs $1.19 per gallon. The trucker is paid $27.50 per hour and fixed costs to run the truck are $11.33 per hour. A trip of 300 miles is planned. What speed will minimize the company's total operating expense?
A truck driving on the Interstate averages a fuel efficiency of 4 miles per gallon when traveling at 50mph. The truck looses a tenth of a mile per gallon in fuel efficiency for each mile per hour increase in speed. Fuel costs $1.19 per gallon. The trucker is paid $27.50 per hour and fixed costs to run the truck are $11.33 per hour. A trip of 300 miles is planned. What speed will minimize the company's total operating expense?
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