The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350 per hour when the speed is 12 miles per hour. Other costs amount to P6,400 per hour regardless of speed. Find the speed that makes the cost minimum.

The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350 per hour when the speed is 12 miles per hour. Other costs amount to P6,400 per hour regardless of speed. Find the speed that makes the cost minimum.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter12: Forecasting Travel Demand

Section: Chapter Questions

Problem 21P

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Concept explainers

Fundamentals of World Energy Use

Population growth has a direct relation to the growing energy demand of mankind. A major emphasis has been laid on the usage of various energy supplies from both renewable and nonrenewable energy sources to meet the global energy demand. The energy supply from burning renewable energy sources such as bioenergy, hydropower, and natural gas has accounted for clean release of the by-products and zero carbon emissions. On the other hand, large-scale energy supply from the combustion of fossil fuels forms the global energy system. Fossil fuels fulfill two-thirds of the world's energy consumption.

Question

The cost of fuel per hour for running a ship is proportional to the cube of the
speed and is P1,350 per hour when the speed is 12 miles per hour. Other costs
amount to P6,400 per hour regardless of speed. Find the speed that makes the
cost minimum.

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