3. Linear Programming (40 points) Hedge fund company A provides three different investment products to its investors, X, Y, and Z. Each X costs company A $4 to maintain, with $10 profit. Each Y costs $6 to maintain, with $8 profit. Each Z costs $10 to maintain, with $16 profit.

At most of 150 of each product can be maintained. $2,000 total cost budgets are available. How can profit be maximize? What are the maximized profits?

Expected Return Standard Deviation Asset A 15% 35% Asset B 30% 65% # of Products X Y Z Total # of Products Total Profit

3. Linear Programming (40 points) Hedge fund company A provides three different investment products to its investors, X, Y, and Z. Each X costs company A $4 to maintain, with $10 profit. Each Y costs $6 to maintain, with $8 profit. Each Z costs $10 to maintain, with $16 profit. At most of 150 of each product can be maintained. $2,000 total cost budgets are available. How can profit be maximize? What are the maximized profits? # of Products IX Y Z Total # of Products Total Profit