RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia Equation (C8)

∂ π i A ∂ f i = N i ( 1 2 − f i + σ j 2 l − f i − τ 2 l − c 2 l ) = 0 MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaacqGHciITcqaHapaCdaqhaaWcbaGaamyAaaqaaiaabgeaaaaakeaacqGHciITcaWGMbWaaSbaaSqaaiaadMgaaeqaaaaakiabg2da9iaad6eadaWgaaWcbaGaamyAaaqabaGcdaqadaqaamaalaaabaGaaGymaaqaaiaaikdaaaGaeyOeI0YaaSaaaeaacaWGMbWaaSbaaSqaaiaadMgaaeqaaOGaey4kaSIaeq4Wdm3aaSbaaSqaaiaadQgaaeqaaaGcbaGaaGOmaiaadYgaaaGaeyOeI0YaaSaaaeaacaWGMbWaaSbaaSqaaiaadMgaaeqaaOGaeyOeI0IaeqiXdqhabaGaaGOmaiaadYgaaaGaeyOeI0YaaSaaaeaacaWGJbaabaGaaGOmaiaadYgaaaaacaGLOaGaayzkaaGaeyypa0JaaGimaaaa@59D2@

Equation (C9)

∂ π i A ∂ σ i = N j ( 1 2 − f j + σ i 2 l − σ i + τ − c 2 l ) = 0. MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaacqGHciITcqaHapaCdaqhaaWcbaGaamyAaaqaaiaabgeaaaaakeaacqGHciITcqaHdpWCdaWgaaWcbaGaamyAaaqabaaaaOGaeyypa0JaamOtamaaBaaaleaacaWGQbaabeaakmaabmaabaWaaSaaaeaacaaIXaaabaGaaGOmaaaacqGHsisldaWcaaqaaiaadAgadaWgaaWcbaGaamOAaaqabaGccqGHRaWkcqaHdpWCdaWgaaWcbaGaamyAaaqabaaakeaacaaIYaGaamiBaaaacqGHsisldaWcaaqaaiabeo8aZnaaBaaaleaacaWGPbaabeaakiabgUcaRiabes8a0jabgkHiTiaadogaaeaacaaIYaGaamiBaaaaaiaawIcacaGLPaaacqGH9aqpcaaIWaGaaiOlaaaa@5A6D@