14. The Hal Chase Investment Planning Agency is in business to help investors optimize their return from investment. Hal deals with three investment mediums: a stock fund, a bond fund, and his own Sports and Casino Investment Plan (SCIP).

The stock fund is a mutual fund investing in openly traded stocks. The bond fund focuses on the bond market, which has a more stable, but lower, expected return.

SCIP is a high-risk scheme, often resulting in heavy losses but occasionally coming through with spectacular gains. Average returns, their variances, and covariances are as follows:

Stock Bond SCIP Average return 0.148 0.060 0.152 Variance 0.014697 0.000155 0.160791 Covariance with stock 0.000468 0.002222 Covariance with bond 0.000227 Develop and solve a portfolio optimization model for this situation for a target return of 12%.