Homework 4-15-2013

A = (C/1)*0.85+0.15 = 0.85C+0.15.............(1)
B = (A/2)*0.85+0.15 = 0.425A+0.15...........(2)
C = (A/2+B/1)*0.85+0.15 = 0.425A+0.85B+0.15.........(3)
由(2)(3) => 1.85B = C
代入(1) => A = 1.5725B+0.15.........(4)
(2)再代入(4) => A = 1.5725(0.425A+0.15)+0.15 => A = 1.163
=> B = 0.425*1.163+0.15=0.644
=> C = 1.85*0.644 = 1.19
推得 C > A > B