An investment firm recommends that a client invest in bonds rated​ AAA, A, and B. The average yield on AAA bonds is ​%, on A bonds ​%, and on B bonds ​%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment is ​$​, and the investor wants an annual return of ​$ on the three investments.

Which of the following statements is true regarding the definition of a fund? a fund is a fiscal entity which is designed to provide reporting that demonstrates conformance with finance-related legal and contractual provisions separately from gaap reporting. a fund exists to assist in carrying on activities and attaining objectives where there are no specific rules or restrictions. a fund is an accounting entity which is designed to enable reporting in conformity with gaap without being restricted by legal or contractual provisions. a fund is a mechanism developed to provide accounting for revenues and expenditures that are subject to certain restrictions separate from revenues and expenditures that are not subject to restrictions.

Suppose general motors demands labor according to the labor demand function 푤푤= 40−0. 5퐸퐸, where 푤푤 is the hourly wage and 퐸퐸 is the number of employees. the united auto workers union has a utility function given by 푈푈=푊푊∗퐸퐸. a.in 1984, the united auto workers union started negotiations with general motors by assuming that they were a monopoly union. find the wage and employment demands that the united auto workers union would have demanded before any bargaining began. b.if general motors and the united auto workers union both had excellent bargaining representatives, would this be the final labor contract? if not, then explain in words and graphically where they would end up after the bargaining process.

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?