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Q8. A remotely located air sampling station can be powered by solar cells or by running an electric line to the site an using conventional power. Solar cells will cost $12,600 to install and will have a useful life of 4 years with no salvage value. Annual costs for inspection, cleaning, etc., are expected to be $1,400. A new power line will cost $11,000 to install, with power costs expected to be $800 per year. Since the air sampling project will end in 4 years, the salvage value of the line is considered to be zero. At an interest rate of 10% per year, which alternative should be selected on the basis of a future worth analysis? Q9. Three types of drill bits can be used in a certain manufacturing operation. A bright high-speed steel (HSS) bit is the least expensive to buy, but it has a shorter life than either gold oxide or titanium nitride bits. The HSS bits will cost $3,500 to buy and will last for 3 months under the conditions in which they will be used. The operating cost for these bits will be $2,000 per month. The gold oxide bits will cost $6,500 to buy and will last for 6 months with an operating cost of $1,500 per month. The titanium nitride bits will cost $7,000 to buy and will last 6 months with an operating cost of $1,200 per month. At an interest rate of 12% per year, compounded monthly, which type of drill bit should be used on the basis of a future worth analysis? Q10. What is the capitalized cost of expenditures of $3,000,000 now, $50,000 in months 1 through 12, $100,000 in months 13 through 25, and $50,000 in months 26 through infinity if the interest rate is 12% per year, compounded monthly? Q11. If you want to be able to withdraw $80,000 per year forever beginning 30 years from now, how much will you have to have in your retirement account (that earns 8% per year interest) in (a) year 29 and (b) year 0? Q12. Compare the following alternatives on the basis of their capitalized cost at an interest rate of 10% per year. A B First cost, $ -250,000 -110,000 Annual operating cost, $/year -130,000 -65,000 Annual revenues, $/year 400,000 270,000 Salvage value, $ 50,000 20,000 Life, years 6 4 Q13. Compare the alternatives shown below on the basis of their capitalized costs, using an interest rate of 12% per year, compounded quarterly? E F G First cost, $ -200,000 -300,000 -900,000 Quarterly income, $/quarter 30,000 10,000 40,000 Salvage value, $ 50,000 70,000 100,000 Life, years 2 4 ∞ Q14. Determine the payback period for an asset that has a first cost of $40,000, a salvage value of $8,000 anytime within 10 years of its purchase, and generates income of $6,000 per year. The required return is 8% per year. Q15. Darnell Enterprises constructed an addition to its building at a cost of $70,000. Extra annual expenses are expected to be $1,850, but extra income will be $14,000 per year. How long will it take for the company to recover its investment at an interest rate of 10% per year? Q16. A new process for manufacturing laser levels will have a first cost of $35,000 with annual costs of $17,000. Extra income associated with the new process is expected to be $22,000 per year. What is the pay-back period at (a) i = 0% and (b) i = 10% per year? Q17. What is the capitalized cost of expenditures of $3,000,000 now, $50,000 in months 1 through 12, $100,000 in months 13 through 25, and $50,000 in months 26 through infinity if the interest rate is 12% per year, compounded monthly? 2
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