Portfolio Manager Max Gaines Needs to Develop an Investment Portfolio $\text { Annual Returns (Flanning Scenarios) }$

Essay

Portfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio provides an annual return of no less than 3%. Formulate the appropriate linear program. $\text { Annual Returns (Flanning Scenarios) }$
$\begin{array}{c|rrrr}\text { Mutual Fund } & \text { Year 1 } & \text { Year 2 } & \text { Year 3 } & \text { Year 4 }\\\hline \text { International Stock } & 22.37 & 26.73 & 6.46 & -3.19 \\\text { Large-Cap Blend } & 14.88 & 18.61 & 10.52 & 5.25 \\\text { Mid-Cap Blend } & 19.45 & 18.04 & 5.91 & -1.94 \\\text { Small-Cap Blend } & 13.79 & 11.33 & -2.07 & 6.85 \\\text { Intermediate Bond } & 7.29 & 8.05 & 9.18 & 3.92\end{array}$