For speeds between 40 mph and 65 mph, a diesel truck gets 460x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 4.6 dollars per gallon. The driver is paid 23 dollars per hour.

a) What is the total cost to have the truck driven 200 miles at a constant speed of 50 miles per hour?

b) What is the best constant speed to drive the truck to minimize the total cost to drive it 200 miles?

c) How much money is saved, per 200 miles, by driving at the the constant speed you found in problem B) instead of 50 miles per hour?

1 answer

take a look at your other trucking post. This is basically the same.
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