G A coal-fired power plant produces power p with costs c(p)=\frac{p^2}{6}. Each unit of power earns the plant \$ 10. Burning coal releases particulate matter (PM2.5), a pollutant that is known to cause heart disease, lung disease, and birth defects. The coal plant borders a wildlife sanctuary which sells tourism visits t for a price $30. However, the sanctuary's animals are getting sick due to the negative externality of PM2.5, such that the costs to the sanctuary are c(t)=\frac{t^2}{6} + \frac{p^2}{6}. The local government decides to tax the coal plant to internalize its negative externality. What tax will restore the social optimum?

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.

You decide to invest in a portfolio consisting of 25 percent stock a, 25 percent stock b, and the remainder in stock c. based on the following information, what is the expected return of your portfolio? state of economy probability of state return if state occurs of economy stock a stock b stock c recession .16 - 16.4 % - 2.7 % - 21.6 % normal .55 12.6 % 7.3 % 15.9 % boom .29 26.2 % 14.6 % 30.5 %