If I have:
k_{1} = (s/(n + v))^{(1/(1-b)) }and k_{2} = A(s/(n+v+z))^{(1/(1-b)) }where A >1 , 1>b>0, and s,n,v,z>0
is k_{1 }greater than, equal to, or less than k_{2} ?
I'm losing my mind on this one! Any help greatly appreciated.
As we can see we have
s/(n+v) > s / ( n+v+z) because n,v,z > 0
Thus [ s/(n+v)]^ 1/(1-b) > [ s / ( n+v+z)] ^ 1/(1-b)
Also The value of k1 and k2 hereafter will depend on the value of A which may make k1 greater than, equal to or less than k2