We need to buy 20,000 barrels of jet fuel in two years. The current spot price of jet fuel is $42 per barrel. The historical standard deviation of jet fuel spot price returns is 0.09.

The WTI futures contract has a current price of $40.04 per barrel, a contract size of 1000 barrels, and a historical price correlation of 0.87 with the spot price of jet fuel. The historical standard deviation of WTI futures price returns is 0.07.

The Brent futures contract has a current price of $41.17 per barrel and a contract size of 1000 barrels, and a historical price correlation of 0.83 with the spot price of jet fuel. The historical standard deviation of Brent futures price returns is 0.10.

The heating oil futures contract has a current price of $1.17 per gallon and a contract size of 42,000 gallons, and a historical price correlation of 0.90 with the spot price of jet fuel. The historical standard deviation of heating oil futures price returns is 0.10.

How many contracts should we buy to hedge (adjust for "tailing" and preserve two decimals).