A portfolio manager has a portfolio of three Treasury securities.His long position in Treasury A has a total BPV of $5,000, his long position in Treasury B has a total BPV of $5,000, his long position in Treasury C has a total BPV of $10,000.They would like to hedge the entire portfolio with a Treasury futures contract.The BPV of the CTD into this futures contract is $80 per $100,000.The CTD has a Conversion Factor of 0.8000.The yield beta of Treasury A relative to the CTD is 0.8, the yield beta of Treasury B relative to the CTD is 0.8, the yield beta of Treasury C relative to the CTD is 0.7. (assume CTD is independent variable and Treasury in portfolio is dependent variable for all yield betas).How many contracts should they use?(Use yield betas in this problem)