An investment manager holds a 7-year US Treasury bond with a face value of USD 60 million. They intend to create a barbell portfolio that matches the cost and duration of the 7-year bond by combining 2-year and 15-year US Treasury bonds. The characteristics of the three US Treasury bonds are outlined in the table below:

Maturity	Price	Duration
2 years	100.972	1.938
7 years	106.443	6.272
15 years	122.175	11.687

Determine the appropriate set of weights for the 2-year and 15-year bonds that the manager should use to construct the barbell portfolio.