Blair & Rosen, Inc. (B&R) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $50,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 18%, and the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $25,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. The Blue Chip fund has a risk rating of 5 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be 5(10) + 5(10) = 100. Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 230.

a.

Formulate a linear programming model to find the best investment strategy for this client.

Let I	= Internet fund investment in thousands
B	= Blue Chip fund investment in thousands

b.

What is the recommended investment portfolio for this client?

Internet Fund	=	$
Blue Chip Fund	=	$

What is the annual return for the portfolio?

$

c.

Suppose that a second client with $50,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 340. What is the recommended investment portfolio for this aggressive investor?

Internet Fund	=	$
Blue Chip Fund	=	$
Annual Return	=	$

d.

Suppose that a third client with $50,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 150. Develop the recommended investment portfolio for the conservative investor. If an amount is zero, enter 0.

Internet Fund	=	$
Blue Chip Fund	=	$
Annual Return	=	$