Which one of the following portfolios cannot lie on the efficient frontier as described by markowitz?
portfolio expected return standard deviation
w 9 % 21 %
x 5 % 7 %
y 15 % 36 %
z 12 % 15 %

(a) only portfolio w cannot lie on the efficient frontier.
(b) cannot be determined from the information given.
(c) only portfolio y cannot lie on the efficient frontier.
(d) only portfolio z cannot lie on the efficient frontier.
(e) only portfolio x cannot lie on the efficient frontier.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Pam is a low-risk careful driver and fran is a high-risk aggressive driver. to reveal their driver types, an auto-insurance company a. refuses to insure high-risk drivers b. charges a higher premium to owners of newer cars than to owners of older cars c. offers policies that enable drivers to reveal their private information d. uses a pooling equilibrium e. requires drivers to categorize themselves as high-risk or low-risk on the application form

If the ceo of a large, diversified, firm were filling out a fitness report on a division manager (i. e., "grading" the manager), which of the following situations would be likely to cause the manager to receive a better grade? in all cases, assume that other things are held constant. a. the division's basic earning power ratio is above the average of other firms in its industry. b. the division's total assets turnover ratio is below the average for other firms in its industry. c. the division's debt ratio is above the average for other firms in the industry. d. the division's inventory turnover is 6, whereas the average for its competitors is 8.e. the division's dso (days' sales outstanding) is 40, whereas the average for its competitors is 30.