A truck driving over a flat interstate at a constant rate of 50 mph gets 4 miles to the gallon. The fuel costs $3.95 per gallon. For each mile per hour increase in speed, the truck loses a tenth of a mile per gallon in mileage. Drivers get paid $55 per hour in wages and fixed costs for running the truck amount to $20 per hour. What constant speed, between 50 and 65 mph, should the dispatcher require on a straight run of 260 miles of Kansas Interstate to minimize the total cost of operating the truck?

Answer rating: 100% (QA)

part A We will begin by finding the total cost if the truck if the truck is driven at 50mphThe cost is made up of two components the fuel cost and the ... View the full answer