how to solve without using excel, etc.

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 Intemet fund and a Blue Chip fund. The Intemet fund has a projected annual retum of 12%, whereas the Blue Chip fund has a projected annual retum of 9%. The investment advisor requires that at most $35,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Intemet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 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 6(10)+4(10)=100. Finally, B\&R developed a questionnaire to measure each client's risk tolenance. 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 porffolio to a maximum risk rating of 240. a. What is the recommended investment portfolio for this client? What is the annual retum for the portfolio? b. Suppose that a second client with $50,000 to invest has been classified as an aggressive investor. B\&R recommends that the maximum porffolio risk rating for an aggressive investor is 320 . What is the recommended investment portfolio for this aggressive investor? Discuss what happens to the portfolio under the aggressive investor strategy. c. Suppose that a third client with $50,000 to invest has been classified as a conservative investot. B\&R recommends that the maximum porffolio risk rating for a conservative imvestor is 160 . Develop the recommended investment portfolio for the conservative investor. Discuss the interpretation of the slack variable for the total investment fund constraint