The standard deviation of monthly changes in the spot price of live cattle is ( in cents per pound) 1.2. The standard deviation of monthly changes in the futures price of live cattle for the closest contract is 1.4. The correlation between the futures price changes and the spot price changes is 0.7. It is now Oct 15. A beef producer is committed to purchasing 200,000 pounds of live cattle on Nov 15. The producer wants to use the Dec live cattle futures contracts to hedge its risk. Each contract is for the delivery of 40,000 pounds of cattle. How many long Dec futures does the producer need for hedging purposes?