An investor can design a risky portfolio based on two stocks, a and b. stock a has an expected return of 18% and a standard deviation of return of 20%. stock b has an expected return of 14% and a standard deviation of return of 5%. the correlation coefficient between the returns of a and b is .50. the risk-free rate of return is 10%. the proportion of the optimal risky portfolio that should be invested in stock a is

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.

As sales exceed the break‑even point, a high contribution‑margin percentage (a) increases profits faster than does a low contribution-margin percentage (b) increases profits at the same rate as a low contribution-margin percentage (c) decreases profits at the same rate as a low contribution-margin percentage (d) increases profits slower than does a low contribution-margin percentage

Three pounds of material a are required for each unit produced. the company has a policy of maintaining a stock of material a on hand at the end of each quarter equal to 30% of the next quarter's production needs for material a. a total of 35,000 pounds of material a are on hand to start the year. budgeted purchases of material a for the second quarter would be: