As an active fund manager, you have obtained information on three individual stocks, the market index, and T-bills as follows:

Asset Expected Return Total Standard Deviation Beta

Stock 1 20% 80% 1.8

Stock 2 16% 60% 1.4

Stock 3 6% 50% 0.8

Market Index 10% 40% 1.0

T-bills 4% 0% 0

You decide to use to above information to form an optimal active portfolio, consisting of the three individual stocks. Determine the corresponding weights for the three stocks in the optimal active portfolio. Show your work.