1. p*(1+x)*n*(1-y) = pn*z
z = (1+x)(1-y)
2. y = kx
z = (1+x)(1-kx) = -kx^2 + (1-k)x + 1 = -k(x - (1-k)/(2k))^2 + k*(1-k)^2/(4k^2) + 1 = -k(x - (1-k)/(2k))^2 + (1+k)^2/(4k)
令 x = (1-k)/(2k)时, z<= (1+k)^2/(4k)
3.
y = 2/3*x
k = 2/3
z = -2/3(x-1/4)^2 + 25/24
有所增加 -> z>1
则有-2/3(x-1/4)^2 + 25/24 >1
解得 0