Generous Dynamics maintains an inventory of $15000$ ounces of gold. The company is interested in protecting the inventory against daily price changes. The correlation of the daily change in the spot and futures price is $.55,$ the standard deviation of the daily spo price change is $20$ percent, and the standard deviation of the daily change in the futures price is $37$ percent. Futures contract size is $1000$ ounces. How many contracts should G buy or sell to hedge its inventory?