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 12%, while the Blue Chip fund has a projected annual return 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 Internet fund, which is the riskier 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 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 limits his or her portfolio to a maximum risk rating of 240

a. Formulate a linear programming model that can be used to maximize portfolio return.

b. What is the recommended investment portfolio for this client?

c. What is the annual return for the portfolio?

Please do this via EXCEL with the following answer form

3	a. (4pts)	Decision Variables	I	B
		Coefficients of Objective Function	?	?
		Maximize or Minimize	?
		Constraints\Decision Variables	I	B	SIGN	RIGHT HAND SIDE VALUE
		Constraint 1	?	?	?	?
		Constraint 2	?	?	?	?
		Constraint 3	?	?	?	?
	b. (3pts)	optimal I	?
		optimal B	?
	c. (1pts)	optimal return	?