Consider a portfolio dependent on the price of a single asset that is delta neutral, with a gamma of -6000 and a vega of -9600. Suppose that a traded option (called Option 1) with a delta of 0.3, a gamma of 0.5 and a vega of 1.0 is available.

1. How could the portfolio be made delta and gamma neutral?
2. How could the portfolio be made delta and vega neutral?
3. If another traded option (called Option 2) with a delta of 0.7, a gamma of 1.2 and a vega of 1.6 is available. How could the portfolio be made delta, gamma and vega neutral?