A B D E F G | H 1 J L M N o o P Q R S Investment Table 2 1 2 Table 1 Year 1 2 3 4 5 6 Yield (%) at Maturity 1.5 6.5 11 Years to Risk Index Maturity 1 1 3 2 4 4 Payment 190 215 240 285 Savings (SV) Security A (SA) Security B (SB) 315 460 a As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the annual payments (in thousands of dollars) shown in Table 1. Initial SV SA SB 10 Cash The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings and two government securities shown in Table 2. All three are availible to invest at the beginning of every year. Year 1 2 s 4 5 6 Nm 0 SM 9999NNS SV SA 14 Investment SB 16 Payment During the first 3 years (i.e., Year 1, Year 2 and Year 3), a) the average risk index of invested funds cannot exceed 3; b) the average years to maturity at the beginning of each year cannot exceed 2.5. There are no risk or liquidity requirements for Years 4 to 6. 19 Portofolio Solve this LP to minimize the initial amount needed. 21 22 23 24 I 25 26 A B D E F G | H 1 J L M N o o P Q R S Investment Table 2 1 2 Table 1 Year 1 2 3 4 5 6 Yield (%) at Maturity 1.5 6.5 11 Years to Risk Index Maturity 1 1 3 2 4 4 Payment 190 215 240 285 Savings (SV) Security A (SA) Security B (SB) 315 460 a As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the annual payments (in thousands of dollars) shown in Table 1. Initial SV SA SB 10 Cash The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited to savings and two government securities shown in Table 2. All three are availible to invest at the beginning of every year. Year 1 2 s 4 5 6 Nm 0 SM 9999NNS SV SA 14 Investment SB 16 Payment During the first 3 years (i.e., Year 1, Year 2 and Year 3), a) the average risk index of invested funds cannot exceed 3; b) the average years to maturity at the beginning of each year cannot exceed 2.5. There are no risk or liquidity requirements for Years 4 to 6. 19 Portofolio Solve this LP to minimize the initial amount needed. 21 22 23 24 I 25 26