Mathematics Homework Help
Mathematics Homework Help. Transportation Costs (or Trucker’s Dilemma)
A truck driving 260 miles over a flat interstate at a constant rate of 50 miles per hour goes 7 miles to the gallon. Fuel costs $3.50 per gallon. For each mile per hour increase in speed, the truck loses a tenth of a mile per gallon in its mileage. Drivers get $27.50 per hour in wages and fixed costs for running the truck amount to $11.33 per hour. What constant speed (between 50 mph and the speed limit of 65 mph) should the truck drive to minimize the total cost of the trip?
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