hw-eight.pdf - Anqi Lou(al44684 Problem 8.1 ∗ = M339D(unique:53970 0.06×0.5 −0.86 1.23−0.86 HW 8 = 0.46069 =(0 × 2 = 100 × 1.232 = 151.29 =(110

# hw-eight.pdf - Anqi Lou(al44684 Problem 8.1 ∗ =...

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Anqi Lou (al44684) M339D (unique:53970) HW 8 05/01/2018 Problem 8.1 𝑝 = ? 0.06×0.5 −0.86 1.23−0.86 = 0.46069 𝑆 ?? = 𝑆(0) × ? 2 = 100 × 1.23 2 = 151.29 ? ?? = (110 − 151.29) + = 0 𝑆 ?? = 𝑆(0) × ? × ? = 100 × 1.23 × 0.86 = 105.78 ? ?? = (110 − 105.78) + = 4.22 ∴ 𝐶𝑉 ? = ? −0.06÷2 [0.46069 × 0 + (1 − 0.46069) × 4.22] = 2.2086 Up node: 𝑉 ? 𝐴 = max[𝐼𝐸 ? , 𝐶𝑉 ? ] = max[(110 − 100 × 1.23) + , 2.2086] = 2.2086 𝑆 ?? = 𝑆(0) × ? 2 = 100 × 0.86 2 = 73.96 ? ?? = (110 − 73.96) + = 36.04 ∴ 𝐶𝑉 ? = ? −0.06÷2 [0.46069 × 4.22 + (1 − 0.46069) × 36.04] = 20.7489 Down node: 𝑉 ? 𝐴 = max[𝐼𝐸 ? , 𝐶𝑉 ? ] = max[(110 − 100 × 0.86) + , 20.7489] = 24 ∴ 𝐶𝑉 0 = ? −0.06÷2 [0.46069 × 2.2086 + (1 − 0.46069) × 24] = 13.5483 Root node: 𝑉 𝐴 = max[𝐼𝐸 0 , 𝐶𝑉 0 ] = max[(110 − 100) + , 13.5483] ≅ \$13.55 Problem 8.2 D 𝑝 = ? 0.05×0.5 − 0.89 1.181 − 0.89 = 0.465 𝑆 ?? = 𝑆(0) × ? 2 = 70 × 1.181 2 = 97.63327 ? ?? = (80 − 97.63327) + = 0 𝑆 ?? = 𝑆(0) × ? × ? = 70 × 1.181 × 0.89 = 73.5763

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Anqi Lou (al44684) M339D (unique:53970) HW 8 05/01/2018 ? ?? = (80 − 73.5763) + = 6.4237 ∴ 𝐶𝑉 ? = ? −0.05÷2 [0.465 × 0 + (1 − 0.465) × 6.4237] = 3.3518 Up node: 𝑉 ? 𝐴 = max[𝐼𝐸 ? , 𝐶𝑉 ? ] = max[(80 − 70 × 1.181) + , 3.3173] = 3.3518 𝑆 ?? = 𝑆(0) × ? 2 = 70 × 0.89 2 = 55.447 ? ?? = (80 − 55.447) + = 24.553 ∴ 𝐶𝑉 ? = ? −0.05÷2 [0.465 × 6.4237 + (1 − 0.465) × 24.553] = 15.7248 Down node: 𝑉 ? 𝐴 = max[𝐼𝐸 ? , 𝐶𝑉 ? ] = max[(80 − 70 × 0.89) + , 15.7248] = 17.7 ∴ 𝐶𝑉 0 = ?
• Spring '14
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• Harshad number, root node, \$13.55, \$10.76, Anqi Lou

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