Consider the Key Rates model and four securities with key rates given in the table below. If you want to hedge a security with KR012=50, KR015=300, and KR0110=KR0130=0, how many of each S1, S2, S3, and S4 you will need to buy or sell?

Security Si S2 S3 S4 KR012 0.04 0 0 0.4 KR015 0.02 0.1 0 0 KR0110 0 0 0.08 0 KR0130 0 0.2 0.24 0.6 Security Si S2 S3 S4 KR012 0.04 0 0 0.4 KR015 0.02 0.1 0 0 KR0110 0 0 0.08 0 KR0130 0 0.2 0.24 0.6