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@