A trader is short 56,000 gallons of jet fuel and decides to hedge the value of her position with futures contracts on heating oil. Each futures contract is on 5,000 gallons of heating oil. The spot price of the jet fuel is $25 and the standard deviation of the change in this price over the life of the hedge is estimated to be $0.43. The futures price of the heating oil is $27 and the standard deviation of the change in this over the life of the hedge is estimated to be $0.45. The coefficient of correlation between the spot price of jet fuel change and futures price of heating oil change is 0.95. What is the optimal number of futures contracts of the hedge? (Use for short position in derivative instrument.)

Round to at least 4 decimals unless otherwise stated. All the answers should be numeric. You can only use . for separating decimals, and for negative results. Do not use any other alphanumeric characters, including , for separating thousands or + for positive results.