# CMUL Programming Worksheet

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Try the problems attached. Submit what you can for problem 1 for the assignment and if you can, try problem 2 for class next week. Posted Thu Jul 7, 2022 at 9:29 amMicrosoft Word DocumentOptimization+2+Supplimental+Problems+.docx21 KBVIEW

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Problem 1
Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed
to meet the specific risk of 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 has decided 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 more risky of the two investment alternatives, has a risk
rating of 4 per thousand dollars invested. For example is \$10,000 is invested in each of the two
investment funds, B&R’s risk rating portfolio would be 6(10) + 4(10) = 100. Finally, B&R has
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 have classified the current client as a moderate investor. B&R
recommends that a client who is a moderate investor to limit his or her portfolio to a maximum
risk rating of 240.
Objective: Determine how much to invest in both investments in order to maximize the return
on investment.
Problem 2:
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly
advertising budget of \$2,000 between newspaper advertising and radio advertising.
Management decided that at least 25% of the budget must be spent on each type of media and
that the amount of money spent on local newspaper advertising must be at least twice the
amount spent on radio advertising. A marketing consultant developed an index that measures
audience exposure per dollar of advertising on a scale from 0 to 100, with higher values
implying greater audience exposure. The value of the index for local newspaper advertising is
50 and the value of the index for spot radio advertising is 80.
Objective: How should the restaurant allocate its advertising budget to maximize the value of
total audience exposure?

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