RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia
Equation (C4)
∂
L
∂
σ
=
N
ρ
F
(
1
2
+
F
−
c
−
m
−
ρ
F
(
σ
+
τ
−
c
)
)
−
1
2
N
(
σ
+
τ
−
c
)
2
l
=
0
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaacqGHciITcaWGmbaabaGaeyOaIyRaeq4Wdmhaaiabg2da9iaad6eacqaHbpGCdaahaaWcbeqaaiaadAeaaaGcdaqadaqaamaalaaabaGaaGymaaqaaiaaikdaaaGaey4kaSIaamOraiabgkHiTiaadogacqGHsislcaWGTbGaeyOeI0IaeqyWdi3aaWbaaSqabeaacaqGgbaaaOWaaeWaaeaacqaHdpWCcqGHRaWkcqaHepaDcqGHsislcaWGJbaacaGLOaGaayzkaaaacaGLOaGaayzkaaGaeyOeI0YaaSaaaeaadaWcaaqaaiaaigdaaeaacaaIYaaaaiaad6eadaqadaqaaiabeo8aZjabgUcaRiabes8a0jabgkHiTiaadogaaiaawIcacaGLPaaaaeaacaaIYaGaamiBaaaacqGH9aqpcaaIWaaaaa@6271@
Equation (C5)
∂
L
∂
F
=
N
(
1
2
−
F
+
c
+
m
+
ρ
F
(
σ
+
τ
−
c
)
)
=
0.
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaacqGHciITcaWGmbaabaGaeyOaIyRaamOraaaacqGH9aqpcaWGobWaaeWaaeaadaWcaaqaaiaaigdaaeaacaaIYaaaaiabgkHiTiaadAeacqGHRaWkcaWGJbGaey4kaSIaamyBaiabgUcaRiabeg8aYnaaCaaaleqabaGaaeOraaaakmaabmaabaGaeq4WdmNaey4kaSIaeqiXdqNaeyOeI0Iaam4yaaGaayjkaiaawMcaaaGaayjkaiaawMcaaiabg2da9iaaicdacaGGUaaaaa@5287@