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If an alternative has a salvage value, how is it han- dled in the calculation of a B/C ratio relative to benefits, disbenefits, costs, or savings? The cost of grading and spreading gravel on a short rural road is expected to be $300,000. The road will have to be maintained at a cost of $25,000 per year. Even though the new road is not very smooth, it allows access to an area that previously could only be reached with off-road vehicles. The improved accessibility has led to a 150% increase in the property values along the road. If the previ- ous market value of a property was $900,000, calculate the B/C ratio using an interest rate of 6% per year and a 20-year study period. Arsenic enters drinking water supplies from natu- ral deposits in the earth or from agricultural and industrial practices. Since it has been linked to cancer of the bladder, kidney, and other internal organs, the EPA has lowered the arsenic standard for drinking water from 0.050 parts per million to 0.010 parts per million (10 parts per billion). The annual cost to public water utilities to meet the new standard is estimated to be $200 per house- hold. If it is estimated that there are 90 million households in the United States and that the lower standard can save 50 lives per year valued at $4,000,000 per life, what is the benefit/cost ratio of the regulation?Consider the data in Exercise 1.5 on page 13. Compute the sample variance and the sample standard deviation for both control and treatment groups. Reference Exercise 1.5: Twenty adult males between the ages of 30 and 40 participated in a study to evaluate the effect of a specific health regimen involving diet and exercise on the blood cholesterol. Ten were randomly selected to be a control group, and ten others were assigned to take part in the regimen as the treatment group for a period of 6 months. The following data show the reduction in cholesterol experienced for the time period for the 20 subjects: Control group: 7 3 -4 14 2 522 -7 95 Treatment group: -6 5 9 4 4 12 37 5 3 3 (a) Do a dot plot of the data for both groups on the same graph. (b) Compute the mean, median, and 10% trimmed mean for both groups. (c) Explain why the difference in means suggests one conclusion about the effect of the regimen, while the difference in medians or trimmed means suggests a different conclusion.If a public utility expands its capacity to generate electricity by obtaining $41 million from retained earnings and $30 million from municipal bond sales, the utilities* debt-to-equity mix is closest to: (a) 58% debt and 42% equity (b) 73% debt and 27% equity (c) 27% debt and 73% equity (d) 42% debt and 58% equity Gentech, Inc. financed a new product as follows: $5 million in stock sales at 13.7% per year, $2 mil- lion in retained earnings at 8.9% per year, and $3 million through convertible bonds at 7.8% per year. The company's WACC is closest to: (a) 9% per year (b) 10% per year (c) 11% per year (d) 12% per year If the after-tax rate of return for a cash flow series is 11.2% and the corporate effective tax rate is 39%, the approximated before-tax rate of return is closest to: (a) 6.8% (b) 5.4% (c) 18.4% (d) 28.7%A proposal to reduce traffic congestion on 1-5 has a B/C ratio of 1.4. The annual worth of benefits minus disbenefits is $560,000. What is the first cost of the project if the interest rate is 6% per year and the project is expected to have a 20-year life? Oil spills in the Gulf of Mexico have been known to cause extensive damage to both public and pri- vate oyster grounds along the Louisiana and Mis- sissippi shores. One way to protect shellfish along the shoreline is to release large volumes of fresh- water from the Mississippi River to flush oil out to sea. This procedure inevitably results in death to some of the saltwater shellfish while preventing more widespread destruction to public reefs. Oil containment booms and other temporary struc tures can also be used to intercept floating oil be- fore it damages sensitive fishing grounds. If the Fish and Wildlife Service spent $110 million in year 0 and $50 million in years 1 and 2 to mini- mize environmental damage from one particular oil spill, what is the benefit-to-cost ratio provided the efforts resulted in saving 3000 jobs valued at a total of $175 million per year? Assume disbenefits associated with oyster deaths amounted to $30 mil- lion in year 0. Use a 5-year study period and an interest rate of 8% per year. On-site granular ferric hydroxide (GFH) systems can be used to remove arsenic from water when daily flow rates are relatively low. If the operating cost is $600,000 per year and the public health benefits are assumed to be $800,000 per year, what initial investment in the GFH system is necessary to guarantee a modified B/C ratio of at least 1.0? Assume that the equipment life is 10 years and the interest rate is 6% per year.An alternative with an infinite life has a B/C ratio of 1.5. The alternative has benefits of $50,000 per year and annual maintenance costs of $10,000 per year. The first cost of the alternative at an interest rate of 10% per year is closest to: (a) $23,300 (b) $85.400 (c) $146,100 (ad) $233,000 Cost-effectiveness analysis (CEA) differs from cost-benefit (B/C) analysis in that: (a) CEA cannot handle multiple alternatives. (b) CEA expresses outcomes in natural units rather than in currency units. (c) CEA cannot handle independent alternatives. (d) CEA is more time-consuming and resource- intensive. Several private colleges claim to have programs that are very effective at teaching enrollees how to become entrepreneurs. Two programs, identi- fied as program X and program Y, have produced 4 and 6 persons per year, respectively, who were recognized as entrepreneurs. If the total cost of the programs is $25,000 and $33,000, respec- tively, the incremental cost-effectiveness ratio is closest to: (a) 6250 (b) 5500 (c) 4000 (d) 1333Magnetron tubes are produced on an automated assembly line. A sampling plan is used periodically to assess quality of the lengths of the tubes. This measurement is subject to uncertainty. It is thought that the probability that a random tube meets length specification is 0.99. A sampling plan is used in which the lengths of 5 random tubes are measured. (a) Show that the probability function of Y , the number out of 5 that meet length specification, is given by the following discrete probability function: 5! f(y) = y!(5 - y)! (0.99)"(0.01)5-". (b) Suppose random selections are made off the line and 3 are outside specifications. Use fly) above either to support or to refute the conjecture that the probability is 0.99 that a single tube meets specifications.\f