A US airline company will purchase 400,000 gallons of jet fuel after one month and the company wants to

do cross hedging using heating oil futures. The standard deviation of monthly changes in the spot price of

jet fuel is (in cents per gallon) 300; the standard deviation of monthly changes in the futures price for the

heating oil futures contract is (in cents per gallon) 407. The coefficient of correlation between the jet fuel

price changes and the futures price changes is 0.75. Each heating oil futures contract is for delivery of 2,000

gallons of heating oil. The current spot price of jet fuel is $1.55 per gallon and the futures price of heating oil is

$1.97 per gallon. What is the optimal number of contracts with tailing adjustment?