please answer prblem 4 a,b, and c

Problem 4 A beef producer is committed to purchasing 200,000 pounds of live cattle on November 15. The producer wants to use December live-cattle futures contracts to hedge its risk. 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 the closest contract is 1.4. The correlation between the futures price changes and the spot price changes is 0.7. It is now October 15. Each contract is for the delivery of 40,000 pounds of cattle. (a) What is the optimal hedge ratio? (b) Should the hedger take a long or short futures position? (c) What is the optimal number of futures contracts with the hedge