An investment advisor has recommended a $50,000 portfolio containing assets r, j, and k; $25,000 will be invested in asset r, with an expected annual return of 12 percent; $10,000 will be invested in asset j, with an expected annual return of 18 percent; and $15,000 will be invested in asset k, with an expected annual return of 8 percent. the expected annual return of this portfolio is

Cool beans is a locally owned coffee shop that competes with two large coffee chains, planeteuro and frothies. alicia, the owner, hired two students to count the number of customers that entered each of the coffee shops to estimate what percent of people who are interested in coffee are visiting each shop. after a week, the students found the following results: 589 visited cool beans, 839 visited planeteuro, and 1,290 visited frothies. the students were surprised that cool beans had 139 visits on monday which represented 59% of all people who visited one of the three coffee shops on mondays. how many people visited one of the three coffee shops during the week?

Which of the following is not a characteristic of enterprise applications that cause challenges in implementation? a. they introduce "switching costs," making the firm dependent on the vendor. b. they cause integration difficulties as every vendor uses different data and processes. c. they are complex and time consuming to implement. d. they support "best practices" for each business process and function. e. they require sweeping changes to business processes to work with the software.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.