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Civil and Environmental Engineering
A 50-kilowatt gas turbine has an investment cost of $40,000. It costs another $14,000 for shipping,
insurance, site preparation, fuel lines, and fuel storage tanks. The operation and maintenance expense for this turbine is $450 per year. Additionally, the hourly fuel expense for running the turbine is $7.50 per hour, and the turbine is expected to operate 3,000 hours each year. The cost of dismantling and disposing of the turbine at the end of its 8-year life is $8,000.
a. If the MARR is 15% per year, what is the annual equivalent life-cycle cost of the gas turbine?
b. What percent of annual life-cycle cost is related to fuel?
insurance, site preparation, fuel lines, and fuel storage tanks. The operation and maintenance expense for this turbine is $450 per year. Additionally, the hourly fuel expense for running the turbine is $7.50 per hour, and the turbine is expected to operate 3,000 hours each year. The cost of dismantling and disposing of the turbine at the end of its 8-year life is $8,000.
a. If the MARR is 15% per year, what is the annual equivalent life-cycle cost of the gas turbine?
b. What percent of annual life-cycle cost is related to fuel?
Civil and Environmental Engineering
A company is considering constructing a plant to manufacture a proposed new product. The land costs $300,000, the building costs $600,000, the equipment costs $250,000, and $100,000 additional working capital is required. It is expected that the product will result in sales of $750,000 per year for 10 years,
Civil and Environmental Engineering
Refer to the following table of cash flows:
End of year 0 4 8 12 16
Cash flow $5,000 $5,000 $5,000 $5,000 $5,000
What is the annual worth of these cash flows over 16 years when i = 5% per year?
End of year 0 4 8 12 16
Cash flow $5,000 $5,000 $5,000 $5,000 $5,000
What is the annual worth of these cash flows over 16 years when i = 5% per year?
Civil and Environmental Engineering
After graduation, you have been offered an engineering job with a large company that has offices in Tennessee and Pennsylvania. The salary is $55,000 per year at either location. Tennessee’s tax burden (state and local taxes) is 6% and Pennsylvania’s is 3.07%. If you accept the position in Pennsylvania and stay with the company for 10 years, what is the FW of the tax savings? Your personal MARR is
10% per year.
10% per year.
Civil and Environmental Engineering
The price of a 10-year bond can decline by approximately 9% if interest rates rise by 1% point. To illustrate this, suppose you own a 10-year U.S. Treasury bond that has a bond rate of 2% per year. How much money will you lose if the value of the bond today is $10,000 (face value of the bond) and the yield increases to 3% within the next few months?
Civil and Environmental Engineering
A new municipal refuse-collection truck can be purchased for $84,000. Its expected useful life is six years, at which time its market value will be zero. Annual receipts less expenses will be approximately $18,000 per year over the six-year study period. Use the PW method and a MARR of 18% to determine whether this is a good investment.
Civil and Environmental Engineering
Situation 2
An RC circuit with a 1-Ω resistor and a 0.000001-F capacitor is driven by a voltage E t sin 100t V. If the
initial capacitor voltage is zero, determine the subsequent resistor and capacitor voltages and the
current.
An RC circuit with a 1-Ω resistor and a 0.000001-F capacitor is driven by a voltage E t sin 100t V. If the
initial capacitor voltage is zero, determine the subsequent resistor and capacitor voltages and the
current.
Civil and Environmental Engineering
Situation 1
A 220-volt battery is connected to a series circuit in which the inductance is 0.5 henry and the resistance
is 68 ohms. Determine the current if the initial current is 4 Amperes.
Civil and Environmental Engineering
Situation 2
A tank initially contains 100 gal of brine where there is dissolved 20lb of salt. Starting at time t = 0, a
brine containing 3lb of dissolved salt per gallon flows into the tank at the rate of 6gal/min is kept uniform
by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 3gal/min.
1. How much salt is present at the end of 15 min?
2. How much salt is present after a long time?
A tank initially contains 100 gal of brine where there is dissolved 20lb of salt. Starting at time t = 0, a
brine containing 3lb of dissolved salt per gallon flows into the tank at the rate of 6gal/min is kept uniform
by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 3gal/min.
1. How much salt is present at the end of 15 min?
2. How much salt is present after a long time?
Civil and Environmental Engineering
Situation 1
A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved
salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred
mixture simultaneously flows out of the tank at a slower rate of 4gal/min.
1. How much salt is in the tank at the end of 20 min?
2. When is there 50 lb of salt in the tank?
A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved
salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred
mixture simultaneously flows out of the tank at a slower rate of 4gal/min.
1. How much salt is in the tank at the end of 20 min?
2. When is there 50 lb of salt in the tank?
