Calculate the optimum cross-sectional area of the


A continuous electric current of 2,000 amps is to be transmitted from a generator to a transformer located 360 feet away. A copper conductor can be installed for $4.6 per pound, will have an estimated life of 26 years, and can be salvaged for $0.9 per pound. Power loss from the conductor will be inversely proportional to the cross-sectional area of the conductor. The power loss in one hour may be expressed as 6.306/A kilowatt, where A is the cross-sectional area of the conductor in square inches. The cost of energy is $0.0817 per kilowatt-hour, the interest rate is 12.6%, and the density of copper is 555 pounds per cubic foot. Calculate the optimum cross-sectional area of the conductor. You should assume the conductor operates 24 hours a day, 365 days per year.

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Operation Management: Calculate the optimum cross-sectional area of the
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