A Company Has a $36 Million Portfolio with a Beta

Short Answer

A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on the S&P/ASX 200 Index is 4800. Futures contracts on $25 times the index can be traded. What trade is necessary to achieve the following? Indicate the number of contracts that should be traded and whether the position is long or short.)
i) Eliminate all systematic risk in the portfolio _ _ _ _ _ _ _ _ _ _
ii) Reduce the beta to 0.9 _ _ _ _ _ _ _ _ _ _
iii) Increase the beta to 1.8 _ _ _ _ _ _ _ _ _ _