A truck is to be driven 200 km along a level highway at x km per hour. Petrol costs 8 cents per litre and is used at the rate of \[25+\frac{ x^2 }{ 112 }\] litres per hour. The driver receives 2 dollars per hour. What is the most economical speed (to the nearest km per hour and the cost of the trip-
i) if there is no speed limit,
ii) if the speed must not exceed 60km per hour?

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Topic: Calculus
Sub Topic: Maxima and Minima.

Is it 74.83 km/h?

Yes!!

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