صفحه 1:
The Cost oP

صفحه 2:
لحعجصمح() عا با ‎Vopios‏ a Ovusurieryy Cost: Dhick Costs Detter? © Costin the Gkort Qua a Oost ia the Lowry Rua a ‏)مورا‎ Orrsus Gkort-Rua Cust Cures 0 Oke S

صفحه 3:
لحعوصیح() را ‎to‏ جزم:]» ‎Outputs--Eroowwies‏ جنب“ كلسب حوس لجرت ® ‎oF Goope‏ ® Qponio Chases ia Costs--The Leurcitcgy Cure © Gstcoatiogy ud (Prediction; Cost 0 Oke SD

صفحه 4:
حصلاص ۹ جكاا سح نوصاصجادها مصاص لوم د[ 5 ‎ioput ord vulput.‏ ۱ ® Gived the production tevkooloxp, 7۳۳۶ wust choose Aow to produce. ۱ 0 Oke

صفحه 5:
حصلاص ۹ 8 Do ‏سل‎ the vptivod bevel oP ‏له نون‎ the input powwbicaives, we wut power Prow the voit weosureweuts oP the productive techuolowpy to dolar WEE ves Dr ۰ 0 Oke S

صفحه 6:
:02 ۱+عه() ‎Okick Costs Outer?‏ ® @ovountice, Cust © Cot expewses phis depreciation charges Por pupitd equipweat ® Coowwir Cust © Cost too Piro oP ‏ی زاف‎ neSoUrceES io proocuotiva, ioctudiogy ppportucily cost 0 Oke Oo

صفحه 7:
:02 ۱+عه() ‎Okick Costs Outer?‏ © Opporiniity vost. ® Cost ussocicted with ppportucittes that ane ]۱ o Pirss’s resvurves une ul put to their highest-volue use. 0 6

صفحه 8:
:02 ۱+عه() ‎Okick Costs Outer?‏ ® Oa Cxanple © )8 Bice owes ‏افا منص جا‎ cod pays op rect Por oP Rive spose ® Oves this weun the vost oP oPPice space is zerv? 0 Oke O

صفحه 9:
:02 ۱+عه() ‎Okick Costs Outer?‏ ™ Guck Oost © @xpecdiure thot kes beeo wade cod ‏موی‎ ‎recovered بل تا و واه بو تلا و 0 Oke SO

صفحه 10:
:02 ۱+عه() ‎Okick Costs Outer?‏ " Oa Cxavpe © @ Pre pas $600,000 Por ‏ها و موه مت‎ a braikcicrcy. © Dhe vost oF the build ‏مطللاف ©5 دا‎ or a total oF $S.S ‏لاب‎ © Dhe Pircr Pirds carter buitdioy Por $9.28 ‏لت‎ ‎© Dhick bubdiogy should the Piro buy? 0 ۵ 0

صفحه 11:
‎the Lovaticn‏ روما ‎Por a Dew baw Grkool Buldicey‏ ‎® Oorthwestera Oniversity Law Grkvvl ‎0) Cured locatiog it douwetowve ‎Chicago ‎©) Oltercaive location ia Cucrsioc with the wot popu ‎0 Olde 0 ‎

صفحه 12:
‎the Lovaticn‏ روما ‎Por a Dew baw Grkool Buldicey‏ ‎® Oorthwestera Oniversity Luw Sokol ‎9) Chovsicry a Gite ‏مورا‎ pwoed iat Chica * Oust purckuse hod ict Cvocsiod * Chicas locaicd wight appear cheuper without pousidertay the opportu cost oP the dowetoww board (ie. what ‏لامك عط لاتحت نا‎ Por) ‎

صفحه 13:
‎the Lovaticn‏ روما ‎Por a Dew baw Grkool Buldicey‏ ‎® Oorthwestera Oniversity Luw Sokol ‎9) Chovsicry a Gite * ‏اجه رصح موه شمسا پمال‎ 02037 ‏میم‎ ase: ‏اش وتو‎ betag ia Ohivago O4P ant, it wos oo ive Piviedt devisiod iP it wos bused oa the ossucyptiiod thot the dowetoud 0 ee ‎

صفحه 14:
:02 ۱+عه() ‎Okick Costs Outer?‏ Cred werd Ovrtuble Ovsts ‎Dordt pulpal is « Poontiva oP vartuble taputs‏ "ا ‎ord Pied ioputs.‏ ‎® DherePore, the totd cost oP productiva ee ene tee ee cel Gee eiee | vortuble ioputs), ore... ‎PO=PC+ OC ‎ ‎ ‎ ‎ ‎ ‎ ‎

صفحه 15:
:02 ۱+عه() ‎Okick Costs Outer?‏ Chard ued Ourtuble Ovste © Pixed Ovst © Opes ot vary wih the fevel oP ‏ان‎ ‎® Ourtuble Oust © ‏ما رل‎ vores us pulp vores

صفحه 16:
‎Cust:‏ سعوه() ‎Okick Costs Outer?‏ ‎Pixed Ovst‏ © ‎® Cost par by a Pircr thot is ft busicess ‏ال‎ oP the evel oP ‏ان‎ ‎® Guck Oost ‎ ‎© Cost thot hue bee ‏مها‎ ved vacant be recovered ‎

صفحه 17:
:02 ۱+عه() ‎Okick Costs Outer?‏ ‎Person Cowputers! wos posts ure‏ ا" اهزور ‎labor‏ ,من ه ‎GoPivare: woet posts une ah‏ ® ‎oP developiag the soP wore‏ رن ه ۱ ‏ع0 عبت 0 ‎

صفحه 18:
:02 ۱+عه() ‎Okick Costs Outer?‏ B® Qiu © Largest post powpooed is Pred 0 ۵۷» 0

صفحه 19:
® Cire’s Gkort-Rua Costs ($) (fea see “Sor Oat Tord Ovst ‏رهم‎ 6 (oro) (v0) (@0) 6090 0 esse 66 1299 49.999 0.6 4۵99 99 6.899 © 60 2,6۵9 99 ات بت ات سرت 22] 990 9S 99 8 لبون بو (00) 60 006060 0666© 06660 06606 0600© 60060 eeses 6666© 6666© 9606© 6066© Row oP ‏لس‎ ‏نحن‎ Ovst (fo) 090 0 460 0 990 0 9860 66 9 008 660 0 690 0 260 9 980 Sor 960 68 1090 90 0060 9

صفحه 20:
Cost ta tke Gkort Qua ® Dargie Cost (DC) is the vost oP ‏مور‎ culput by vce wait. ‏لا عون‎ vost hove ‏ام و‎ oo wordicd post, if oot be vorittest as: Oko? Obde SD

صفحه 21:
Oost ta the Gkort Qua ® Qverace Mota Cost (BNC) is the vst per uot DP pulp, or average Pixed post (®CC) plus weraqe vartuble vost (BOC). Chis cos be voritiest: Q ۱ ‏کل وم‎ as 0 Oke Od

صفحه 22:
Cost ia tke Gkort Qua ® Qverace Mota Cost (BNC) is the vst per uot DP pulp, or average Pixed post (BOC). Chis cos be voritiest: Oko? 60-66

صفحه 23:
Oost ta the Gkort Qua © Phe Oetercoiccnts oP Gkort-Rua Cvst ‎Phe retoicoskiy beter the producioa‏ و ‎Puortion ood cost cos be exesvpiPied by either‏ ‎fopreeusiay retures ued cost or deoreusicy‏ له سار ‏وه ی 0 ‎

صفحه 24:
Oost ta the Gkort Qua ® Dke Ortercniccats oP Gkort-Rua Cost © ‏سا مسب‎ usr post ik ‏رسب‎ retuces, Dulpul is ‏رم‎ relive to toput ond vortable vost ood total cost wil Poll retative fo pulpal. © Oecreusiny retures unt post ik depreusicgy retuces, pulpal is depreasicny relative to ‏وه‎ ced voriuble vost ood total ost will rise relive 9 ‏ان‎ 0 Obde OF

صفحه 25:
Oost ta the Gkort Qua =o Cxavple: Ossuve the wae rote (w) is Pixed relative to the wucber oP workers hired. Thea! mczuAVE AQ \ VC =u. 0 Obte OS

صفحه 26:
Oost ta the Gkort Qua ® Ovotcuicny AVC =wWAL WAL ۱ MC=—— 10 ی 0

صفحه 27:
Oost ta the Gkort Qua ® Ovotcuicny AMB. - 1 iG ~ AMR. --ح 01۸0 ۲0101 ۳ Oko? Oke OP

صفحه 28:
Oost ta the Gkort Qua B40 pouches: Mc=— MR. ا 505722200 ‎vise‏ له (20)) نع اوه ‎high‏ و صا ‎١‏ ۱/۷۲ 0 Oke CO

صفحه 29:
Oost ta the Gkort Qua ® Oowequecty (Proc the table): © OC derrewses intchy Lit ioreustay netures % 0 throuk & usits oP vuput © OC ‏مومس‎ wit ‏روص‎ retires *S ‏نصح خاص عن 0) بيجو‎ 0 Obte SS

صفحه 30:
® Cire’s Gkort-Rua Costs ($) (fea see “Sor Oat Tord Ovst ‏رهم‎ 6 (oro) (v0) (@0) 6090 0 esse 66 1299 49.999 0.6 4۵99 99 6.899 © 60 2,6۵9 99 ات بت ات سرت 22] 990 9S 99 8 لبون بو (00) 60 006060 0666© 06660 06606 0600© 60060 eeses 6666© 6666© 9606© 6066© Row oP ‏لس‎ ‏نحن‎ Ovst (fo) 090 0 460 0 990 0 9860 66 9 008 660 0 690 0 260 9 980 Sor 960 68 1090 90 0060 9

صفحه 31:
Dord vost eheved| TO on ‏۶و سح‎ 0 ver wat OO, isc 00 ‏مم لبون‎ ‏لاب ی‎ 200 ‏ملسم‎ ood fhe rate vores wie ‏سس‎ ‏مسج‎ retire. 900 (Phoed ovat dere wot qo vey ik onine 5 eo 9 19 9 6 9 9 00 ۵ w ‏سوه وو و‎ ۲ 0

صفحه 32:
oo a ®

صفحه 33:
Oost Ourves Por ‏هن‎ © Dk be draw Prow the vriqtt to the toogect oF the vortuble vst curve! © is slope expt (BOC © Dhe slope oF o poidt vo OC equate DO » DkerePore, DO = ®OC a? vraits oF pulpul (potat P) 0 ۵ و و < و و ه و و ۱ ©

صفحه 34:
Oost Ourves Por ‏هن‎ " Quit Ovste رامش علد۳ 060 © ©» Mkea OC < BOC or OC < ®TC, BOC & ®VC decreue ©» Mkea DO > WOO vor OC > BTC, BOC & 8/10 ‏عوج دا‎ 0 Obde OE

صفحه 35:
Oost Ourves Por ‏هن‎ " Quit Ovste ® OC = OOC wt OVO a ‏مه‎ ‎600 ‏لحم‎ 610 © ‏من‎ POO vers ‏حذكا اجيج عصيصا جه أن‎ wisi (BPO dur tz FC ی 0

صفحه 36:
Opera ‏عوو‎ ۲) Guelicy ($/Toa besed va ua vuput oP OOO tows/day) Ountble costs thot are poostcat ol puput levels ‎SO‏ ی ‎$000 ‎999 ‎des ‎00 ‎560 ‎Cleviricty ‎@kacoicra ‎Other raw woterids ‎loot power urd Poet ‏سل‎ ‎

صفحه 37:
Opera ‏عوو‎ ۲) Guelicy ($/Toa besed va ua vuput oP OOO tows/day) ‎pots thot toreore whea pup exceeds OOO tow/day‏ لبون ‎Lebor 990 ‏مه(‎ 060 ‏بلس‎ SO ‏5900 سید ‎operate) costs 50060‏ لو ‎Oko? Ore 0 ‎

صفحه 38:

صفحه 39:
Oost ta the Doo Que The Oser Oost oP Oupitd ® Oser Ovst oF Cupita = Erow-wir Orpreviction + (Voterest Rate)(Ochue oe Okepter ? bbe 6

صفحه 40:
Oost ta the Doo Que ® Gxcanople © Deka bus u Overy POP Por $460 wilica wits co expected ihe oP OO pears * Denard eoocexvis cepreviaivs = 0 sali < 36 ‏تب‎ *oterest rate = ID% 0 ۵ FO

صفحه 41:
Oost ta the Doo Que The Oser Oost oP Oupitd " Exaple © Over Cost oP Cupid = $6 wilioa + (10) ($080 wiloa - depreviction) Yeu (= $6 wilion + )40( )50600 ‏حصلاب 520 - (وصلاب‎ ١ ‏ماب 9 < 40 مره‎ + (do) )500000 ‏مصلاب 506 - (وصلاب‎ 0 9 0

صفحه 42:
Oost ta the Doo Que The Oser Oost oP Oupitd ® Rate per dolar oP pupil © = Oeprevitivon Rute + Ioterest Rute لب 0

صفحه 43:
Oost ta the Doo Que The Oser Oost oP Oupitd ۱ Oidue Cxcrople ® Depreciation Rate = 4/906 2 9.9 ‏عم‎ ‎© Rate oP Retura = 10۵۲ ® Oser Cost oP Oupitl 49.956 < 0) + 5.55 - ره 0 Obde PS

صفحه 44:
Oost ta the Doo Que Whe Cost Otakpiztay Iaput Okoice ® @Qsaropiow © Dive ‏را تا‎ (b) & cepital (1) © rive oP habor! wage rate (w) © Phe price OP vapid * R= ‏مرول‎ rote + toterest rote © ی 0

صفحه 45:
Oost ta the Doo Que Whe Cost Otakpiztry 19 ‏ای‎ ® Qvesiivod ۰ ‏یی‎ wes rected, would it choo the ‏در‎ ‎Pr? 0 Obde PS

صفحه 46:
Oost ta the Doo Que Whe Cost Otakpiztry 19 ‏ای‎ © DV ke Isvvvst Lice » ‏رار دان‎ + )) ‏ای اه مشاه صمنلا ©8) تیا و‎ oP L & ) ‏لحاوس و مه م۲‎ ۳ the save ‏ومع‎ 0 Obde FO

صفحه 47:
Oost ta the Doo Que Vhe Isvcvst bie © Rewrite O us bara © K=Of- (uhh © Gis ch te east AK =-(w/) * s the rato OP the wae roe to etd cost oP capi. ۰ ۲ shows the rote of whick copital cod be substituted Por tabor with a7 chooge ia vost. ع دی 0

صفحه 48:
بسا # Oe wil address how to wisievize vost Por ved fevel oP vulput. ‏و‎ De wil do sv by cow biniey ispoosts wit ‏عیسو‎ 0 Ore FO

صفحه 49:
مسج م رو ‎oe Porat‏ سار سسه سس ۳۳ 7 0 ‎a ort bevel.‏ ‎showy earth‏ ین سس اس لدم سا رو ‎ied yaad‏ ‎Tbe or hehe‏ هام ‎on‏ ‎i ALowever, bok oP kee‏ ايت بن ‎ae haher‏ ‎a, tro 4‏ : ۱ ‎Lebor per voor‏ 1 1 7 ‎Obey FO‏ 0

صفحه 50:
the chang to ۰ ‏(اس)- سود‎ + (Thier ‏مانب و علاط‎ oP Coed Lb prince Gy Oowbrraiva Oe werd to phe ‏لام ۴و‎ 0 ۳۶ ‏هجو تون نی‎ he higher ‏ات اجه ای‎ ۳ ‏تاه‎ ۳ kbor.

صفحه 51:
Oost ta the Doo Que 8 4soquccts und Isooosts ur the Productiva ucts MRTS="4K/ 7) =MBA ip Slopef isocostline-4K/ L= 1 MR 2 ١ ane 7 ‘MP. =

صفحه 52:
Oost ta the Doo Que وجا وجكلا كدج ای اج ‎Dhe wicikwuw‏ § ao, Por a qed vulput wil our Writtea as? اج مواد () © har oF ‏نو‎ added to the ال امه ‎whe‏ pooduciios process will odd oo equivdteut avout oF pulpal. Obte SO

صفحه 53:
Oost ta the Doo Que ® Qvuestivd oP w= $00, r = $2, und OP, = One UWhick ioput would the producer use wore oP? Dky? 0 Obte SO

صفحه 54:
The GPPect oP ‏لاس6۳۳۲‎ ‎Cees va Pins’ Input ‏وا‎ ® inns that hove uo bp-produnt to procuction produce oa ef Afued. ® Qo eh Rhedt Pee is u per-unit Pee thot Pixos Bow woud u producer respodd to oo ی 0

صفحه 55:
The GPPect oP ‏لاس6۳۳۲‎ ‎Cees va Pins’ Input ‏وا‎ © Phe Grew: Steel Producer 0) ۱ ©) COO inposes u per voit ePPhuedt Pee to reduce the euviroevedtaly ‏ام‎ ‏ام‎ 0 Obte SS

صفحه 56:
The GPPect oP ‏لاس6۳۳۲‎ ‎Cees va Pins’ Input ‏وا‎ © Phe Grew: Steel Producer SNe hota ‏ی‎ ee reece 0 Obte SO

صفحه 57:
ت۳۵ ‎_0,00RS,00D1E,00060,000‏ 98,000 .و Oko? Ore SP

صفحه 58:
صا فليم حا بجنا

صفحه 59:
The GPPect oP ‏لاس6۳۳۲‎ ‎Cees va Pins’ Input ‏وا‎ 9 Observetiow: © Vke wore Posi Pavtors coo be substituted, the eb Pht. © Phe oredr the deqrer oP substitutes, the less the Pires wil have to poy (Por exaple: $60 ,OOO wik cowbicaiva @ instead oF $400 OOO wik voevbicratioa P) 0 Obte SO

صفحه 60:
Oost ta the Doo Que ® Oost wiokvizdtiod witk Ourpieg Output bevels ©» )3 ‏خن ها ند ام موس وب‎ vost voswbicaives oF ‏وود‎ ued capital ot eal fevel oF vutput. 0 ۵» 0

صفحه 61:

صفحه 62:

صفحه 63:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves ® kot hoppess to wernp posts wheo boty havieg oe toput thot is vartuble (short nuct)? ی 0

صفحه 64:

صفحه 65:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves a ‏جور :© )مورا‎ Cost (L®C) ® Cocstodt Returcs ty Grote °F ioput is doubled, mutput will double ood wenn ost is boosted of uf levels oP putput. 0 ‏لب‎ OS

صفحه 66:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves a ‏جور :© )مورا‎ Cost (L®C) 24 piu (Returas ty Gout » |] iaput is doubled, muiput wil wore tho double ced weroye cost decreuses ot ll levels ‏ان ان‎ ی 0

صفحه 67:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves a ‏جور :© )مورا‎ Cost (L®C) © )]( ‏بمو جدود‎ Retuces to Ooo ۰ ‏طا الجايص جز تحاران چا نز‎ عه ل 0

صفحه 68:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves a ‏جور :© )مورا‎ Cost (L®C) © ‏تما با وا‎ ۰ ‏له رم و ور‎ ‏رتسول‎ retuces to sodte wed therefore loo were cost is “(D” skaped. 0 Oke OO

صفحه 69:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves ® LoorRua @verage Cust (OC) © Loop sordicd post beards foot were vost: *IF LOC <LO@C, LOC wil Pal *IF LOC > LO, LOC wil rise * DkerePore, LOC = LO at the wisi ve LOC 0 Obte OS

صفحه 70:
۱۳ @verage ‏لمن‎ Oarqical Ovst (Sper wt oP ove 0 Ode TO

صفحه 71:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves ٩ ) ‏موی‎ مرها مورا مار با عز با() و مایب أومج أمجتسوجه مصموط ‎ood‏ اجه رون ۱ 0 ۷» 0

صفحه 72:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves ® Coowwies unl Diserowwies oP Soule ‏مین و‎ oP Orue ‏رما‎ in vuiput is qreuer thad the ۳79 ۲ ۳ ‏اه هرمز و‎ ‏جز وم لا ما حووا عا تن وا موسرم‎ inputs. 0 Oke TO

صفحه 73:
Oe TS =%Ain wa Pow 1% iooreuse حون میس ‎GhortRua Oust Curves‏ a Oeusurtay Erowwies oP Goue G& =Cost - vulput ‏نله‎ اون دز

صفحه 74:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves ® Qecsuriny Coowwies oP Ooute Oko? Otte TH

صفحه 75:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves " DherePore, the Pollo wiery ig true: ‏:ا > رع و‎ 00 > 00 خآم وجاروجوومجب كواجدج وجل وله اوه مسر « مجك 00 - 00 :0 درع ۰ ‎oP sou‏ و أكداوكمج جامصلها أومد جص :8) + 60 < 00 :ل دري ‎٠‏ اه سس مهو ول اوه مسر ۰ ‎sole‏ 0 Oe 7S

صفحه 76:
Lowp-Ruc Orrsus Gkort-Rua Cost Curves 5 ۲ Retaicaship ‏مووررنو)‎ Skort-Ruc ‏له‎ ‎Loeg-Rua Cost © De wil use skort od foxes cost 7 0 Ore TO

صفحه 77:
Ooxstcat Returcs to Gru Over Ok wary phos stare ws OBO = $ID ($ per wot fe LOO = LOO wed b a otro ‏عط‎ ‎oP opt 600۰ ۵00۰ 900 ۵00, ۵00۰ 4 “BC = ۱ ۱ ۱ 00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 9 Okey? Chk PP

صفحه 78:
۱۳ Cost wits Cossteat Qeturcs ty Gru ® Observaiva © ‏من با‎ ploot size wil depesd oo the coticipoted: vuiput (ey. Qy choose GBO,,ev). © Phe looprus wera cost curve ts the euvebpe oP the Pirsn’s short-ros wenn cost purves. ® Qcesiiva © Okot would hopped to were ost Poo cutput level viker thaw thot shouse is choseo? 0 ۵ TO

صفحه 79:
و stent owe br ord os / ۵0, ‏لحب‎ 600 59. ‎ent © w abe LOO bere‏ 90۹ كبر ‎one pd Pore‏ سان ال ‎ ‎pean ‎ ‎Oke TS ‎ ‎ ‎

صفحه 80:
۱۳ Cost wits Cossteat Qeturcs ty Gru ® Oket is the Pins’ roger post poe? ® Pines coo chong sod to choo vulput to the ‏روا‎ © ‏باط حابصل دكلا جا مه اه متا با‎ portiva oF the GOO ‏ارب رصی‎ represeuis the wiokwud cost Por coy fevel oP output. 0 Ore OO

صفحه 81:
۱۳ Cost wits Cossteat Qeturcs ty Gru © Observetiogs ۰ ۱ LOC does uot tuchide the wioiue points ® LOO ts wt the euvelope ‏متمد وماك جا حاص‎ wargicdl post. Dky ut? 0 9۷» 0

صفحه 82:
@roductiod wit Two ‏رولب‎ oP Goppe ® Gxanvples: ‏له سلجم موم نان و‎ ‏عطصصا له موم زامن و‎ © Oaversip--Teuchiog ond research دی 0

صفحه 83:
@roductiod wit Two ‏رولب‎ oP Goppe ® Coowwies oP svope exist whe the jpiot output oF usin Pirsy is yreuter thea the vutput thot oould be uohieved by tu ‏محص ةنال‎ Pins euck produciog a ‏ان ارزو‎ ‎posposy producto cars ord‏ امه مه تن و صاصم ‎ ‎0 Ore OS ‎

صفحه 84:
@roductiod wit Two ‏رولب‎ oP Goppe " Odvookrpes 0) Outs use vupital aed labor. 9( Whe Pirws shore woengeweut 155715. 9( otk vee the save bobor chile ood 0 Oe OF

صفحه 85:
@roductiod wit Two ‏رولب‎ oP Goppe ® Produniion: ‎Cirws wost choose how work oP eck to‏ و ‎produce.‏ ‎tercaive quencies coo be thustroted usiccy‏ با و ‎poodut trocsPorwelive murves.‏ ‎0 Ore OS ‎

صفحه 86:

صفحه 87:
@roductiod wit Two ‏رولب‎ oP Goppe © Observetiogs © Produnt trocePorwuiivd pores ure oeyyoively sloped ‎retuces Exist io this excacvple‏ رل و ‎Giave the production troosPorndivd pure ie‏ © ‎0 Oke OF ‎

صفحه 88:
@roductiod wit Two ‏رولب‎ oP Goppe © Observetiogs © Dhere is w direct rehtioeship bettered ‏و‎ DP sovpe wed epouwies oP soul. * Duy expericuve exo wwwies oP svppe und disepowwies oP svule * Ou hwe eoouwwies oP soul ond unt hove ‏مه اه ور‎ 0 Okt 66

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Chapter 7 The Cost of Production Topics to be Discussed  Measuring Cost: Which Costs Matter?  Cost in the Short Run  Cost in the Long Run  Long-Run Versus Short-Run Cost Curves Chapter 7 Slide 2 Topics to be Discussed  Production with Two Outputs--Economies of Scope  Dynamic Changes in Costs--The Learning Curve  Estimating and Predicting Cost Chapter 7 Slide 3 Introduction  The production technology measures the relationship between input and output.  Given the production technology, managers must choose how to produce. Chapter 7 Slide 4 Introduction  To determine the optimal level of output and the input combinations, we must convert from the unit measurements of the production technology to dollar measurements or costs. Chapter 7 Slide 5 Measuring Cost: Which Costs Matter? Economic Economic Cost Cost vs. vs. Accounting Accounting Cost Cost  Accounting Cost  Actual expenses plus depreciation charges for capital equipment  Economic Cost  Cost to a firm of utilizing economic resources in production, including opportunity cost Chapter 7 Slide 6 Measuring Cost: Which Costs Matter?  Opportunity cost.  Cost associated with opportunities that are foregone when a firm’s resources are not put to their highest-value use. Chapter 7 Slide 7 Measuring Cost: Which Costs Matter?  An Example A firm owns its own building and pays no rent for office space Does this mean the cost of office space is zero? Chapter 7 Slide 8 Measuring Cost: Which Costs Matter?  Sunk Cost  Expenditure that has been made and cannot be recovered  Should Chapter 7 not influence a firm’s decisions. Slide 9 Measuring Cost: Which Costs Matter?  An Example A firm pays $500,000 for an option to buy a building.  The cost of the building is $5 million or a total of $5.5 million.  The firm finds another building for $5.25 million.  Which Chapter 7 building should the firm buy? Slide 10 Choosing the Location for a New Law School Building  Northwestern University Law School 1) Current location in downtown Chicago 2) Alternative location in Evanston with the main campus Chapter 7 Slide 11 Choosing the Location for a New Law School Building  Northwestern University Law School 3) Chapter 7 Choosing a Site  Land owned in Chicago  Must purchase land in Evanston  Chicago location might appear cheaper without considering the opportunity cost of the downtown land (i.e. what it could be sold for) Slide 12 Choosing the Location for a New Law School Building  Northwestern University Law School 3) Chapter 7 Choosing a Site  Chicago location chosen--very costly  Justified only if there is some intrinsic values associated with being in Chicago  If not, it was an inefficient decision if it was based on the assumption that the downtown land was “free” Slide 13 Measuring Cost: Which Costs Matter? Fixed Fixed and and Variable Variable Costs Costs  Total output is a function of variable inputs and fixed inputs.  Therefore, the total cost of production equals the fixed cost (the cost of the fixed inputs) plus the variable cost (the cost of the variable inputs), or… TCFC VC Chapter 7 Slide 14 Measuring Cost: Which Costs Matter? Fixed Fixed and and Variable Variable Costs Costs  Fixed Cost Does  not vary with the level of output Variable Cost Cost Chapter 7 that varies as output varies Slide 15 Measuring Cost: Which Costs Matter?  Fixed Cost Cost paid by a firm that is in business regardless of the level of output  Sunk Cost Cost that have been incurred and cannot be recovered Chapter 7 Slide 16 Measuring Cost: Which Costs Matter?  Personal Computers: most costs are variable Components,  Software: Cost Chapter 7 labor most costs are sunk of developing the software Slide 17 Measuring Cost: Which Costs Matter?  Pizza Largest Chapter 7 cost component is fixed Slide 18 A Firm’s Short-Run Costs ($) Rate of Output Fixed Cost (FC) 050 0 150 50 250 78 350 98 450 112 550 130 650 150 750 175 850 204 950 242 1050 300 1150 385 Variable Cost (VC) Total Cost (TC) Marginal Cost (MC) 50---------10050 5050 100 12828 2539 64 14820 16.732.749.3 16214 12.528 40.5 18018 1026 36 20020 8.325 33.3 22525 7.125 32.1 25429 6.325.531.8 29238 5.626.932.4 35058 530 35 43585 4.535 39.5 Average Fixed Cost (AFC) Average Variable Cost (AVC) Average Total Cost (ATC) Cost in the Short Run  Marginal Cost (MC) is the cost of expanding output by one unit. Since fixed cost have no impact on marginal cost, it can be written as: VC TC MC  Q Q Chapter 7 Slide 20 Cost in the Short Run  Average Total Cost (ATC) is the cost per unit of output, or average fixed cost (AFC) plus average variable cost (AVC). This can be written: TFC TVC ATC   Q Q Chapter 7 Slide 21 Cost in the Short Run  Average Total Cost (ATC) is the cost per unit of output, or average fixed cost (AFC) plus average variable cost (AVC). This can be written: TC ATC AFC AVC or Q Chapter 7 Slide 22 Cost in the Short Run  The Determinants of Short-Run Cost  The relationship between the production function and cost can be exemplified by either increasing returns and cost or decreasing returns and cost. Chapter 7 Slide 23 Cost in the Short Run  The Determinants of Short-Run Cost  Increasing returns and cost With increasing returns, output is increasing relative to input and variable cost and total cost will fall relative to output.  Decreasing returns and cost With decreasing returns, output is decreasing relative to input and variable cost and total cost will rise relative to output. Chapter 7 Slide 24 Cost in the Short Run  For Example: Assume the wage rate (w) is fixed relative to the number of workers hired. Then: VC MC Q VC wL Chapter 7 Slide 25 Cost in the Short Run  Continuing: VC wL wL MC Q Chapter 7 Slide 26 Cost in the Short Run  Continuing: Q MPL  L L 1 L fora1unitQ   Q MPL Chapter 7 Slide 27 Cost in the Short Run  In conclusion: w MC MPL  …and a low marginal product (MP) leads to a high marginal cost (MC) and vise versa. Chapter 7 Slide 28 Cost in the Short Run  Consequently (from the table):  MC  0 through 4 units of output  MC  Chapter 7 decreases initially with increasing returns increases with decreasing returns 5 through 11 units of output Slide 29 A Firm’s Short-Run Costs ($) Rate of Output Fixed Cost (FC) 050 0 150 50 250 78 350 98 450 112 550 130 650 150 750 175 850 204 950 242 1050 300 1150 385 Variable Cost (VC) Total Cost (TC) Marginal Cost (MC) 50---------10050 5050 100 12828 2539 64 14820 16.732.749.3 16214 12.528 40.5 18018 1026 36 20020 8.325 33.3 22525 7.125 32.1 25429 6.325.531.8 29238 5.626.932.4 35058 530 35 43585 4.535 39.5 Average Fixed Cost (AFC) Average Variable Cost (AVC) Average Total Cost (ATC) Cost Curves for a Firm Total cost is the vertical sum of FC and VC. Cost 400 ($ per year) TC VC Variable cost increases with production and the rate varies with increasing & decreasing returns. 300 200 Fixed cost does not vary with output 100 FC 50 0 Chapter 7 1 2 3 4 5 6 7 8 9 10 11 12 13 Slide 31 Output Cost Curves for a Firm Cost ($ per unit) 100 MC 75 50 ATC AVC 25 AFC 0 Chapter 7 1 2 3 4 5 6 7 8 9 10 11 Output (units/yr.) Slide 32 Cost Curves for a Firm  The line drawn from the origin to the tangent of the variable cost curve:  Its slope equals AVC  The slope of a point on VC equals MC  Therefore, MC = AVC at 7 units of output (point A) TC P 400 VC 300 200 A 100 0 F C 1 2 3 4 5 6 7 8 9 10 11 12 13 Output Chapter 7 Slide 33 Cost Curves for a Firm  Unit Costs  AFC falls continuously  When MC < AVC or MC < ATC, AVC & ATC decrease  When MC > AVC or MC > ATC, AVC & ATC increase Cost ($ per unit) 100 MC 75 50 ATC AVC 25 AFC 0 1 2 3 4 5 6 7 8 9 10 11 Output (units/yr.) Chapter 7 Slide 34 Cost Curves for a Firm  Unit Costs  MC = AVC and ATC at minimum AVC and ATC  Minimum AVC occurs at a lower output than minimum ATC due to FC Cost ($ per unit) 100 MC 75 50 ATC AVC 25 AFC 0 1 2 3 4 5 6 7 8 9 10 11 Output (units/yr.) Chapter 7 Slide 35 Operating Costs for Aluminum Smelting ($/Ton - based on an output of 600 tons/day) Variable costs that are constant at all output levels Electricity Alumina Other raw materials Plant power and fuel Subtotal Chapter 7 $316 369 125 10 $820 Slide 36 Operating Costs for Aluminum Smelting ($/Ton - based on an output of 600 tons/day) Variable costs that increase when output exceeds 600 tons/day Chapter 7 Labor Maintenance Freight Subtotal $150 120 50 $320 Total operating costs $1140 Slide 37 The Short-Run Variable Costs of Aluminum Smelting Cost ($ per ton) 1300 MC 1200 1140 AVC 1100 300 Chapter 7 600 900 Output (tons/day) Slide 38 Cost in the Long Run The The User User Cost Cost of of Capital Capital  User Cost of Capital = Economic Depreciation + (Interest Rate)(Value of Capital) Chapter 7 Slide 39 Cost in the Long Run The The User User Cost Cost of of Capital Capital  Example Delta buys a Boeing 737 for $150 million with an expected life of 30 years Chapter 7  Annual economic depreciation = $150 million/30 = $5 million  Interest rate = 10% Slide 40 Cost in the Long Run The The User User Cost Cost of of Capital Capital  Example User Cost of Capital = $5 million + (.10) ($150 million – depreciation)   Chapter 7 Year 1 = $5 million + (.10) ($150 million) = $20 million Year 10 = $5 million + ($100 million) = $15 million (.10) Slide 41 Cost in the Long Run The The User User Cost Cost of of Capital Capital  Rate per dollar of capital r Chapter 7 = Depreciation Rate + Interest Rate Slide 42 Cost in the Long Run The The User User Cost Cost of of Capital Capital  Airline Example Depreciation Rate  Rate = 1/30 = 3.33/yr of Return = 10%/yr User Cost of Capital r Chapter 7 = 3.33 + 10 = 13.33%/yr Slide 43 Cost in the Long Run The The Cost Cost Minimizing Minimizing Input Input Choice Choice  Assumptions  Two Inputs: Labor (L) & capital (K)  Price of labor: wage rate (w)  The  Chapter 7 price of capital R = depreciation rate + interest rate Slide 44 Cost in the Long Run The The Cost Cost Input The TheUser User Cost Minimizing Minimizing Cost of of Capital Capital Input Choice Choice  Question  If capital was rented, would it change the value of r ? Chapter 7 Slide 45 Cost in the Long Run The The Cost Cost Input The TheUser User Cost Minimizing Minimizing Cost of of Capital Capital Input Choice Choice  The Isocost Line C = wL + rK A line showing all combinations of L & K that can be purchased for the same cost  Isocost: Chapter 7 Slide 46 Cost in the Long Run The The Isocost Isocost Line Line  Rewriting C as linear: K = C/r - (w/r)L  Slope Chapter 7 of the isocost: K L  r  w  is the ratio of the wage rate to rental cost of capital.  This shows the rate at which capital can be substituted for labor with no change in cost. Slide 47 Choosing Inputs  We will address how to minimize cost for a given level of output.  We will do so by combining isocosts with isoquants Chapter 7 Slide 48 Producing a Given Output at Minimum Cost Capital per year Q1 is an isoquant for output Q1. Isocost curve C0 shows all combinations of K and L that can produce Q1 at this cost level. K2 Isocost C2 shows quantity Q1 can be produced with combination K2L2 or K3L3. However, both of these are higher cost combinations than K1L1. CO C1 C2 are three isocost lines A K1 Q1 K3 C0 L2 Chapter 7 L1 C1 L3 C2 Labor per year Slide 49 Input Substitution When an Input Price Change Capital per year K2 If the price of labor changes, the isocost curve becomes steeper due to the change in the slope -(w/L). This yields a new combination of K and L to produce Q1. Combination B is used in place of combination A. The new combination represents the higher cost of labor relative to capital and therefore capital is substituted for labor. B A K1 Q1 C2 L2 Chapter 7 L1 C1 Labor per year Slide 50 Cost in the Long Run  Isoquants and Isocosts and the Production Function MRTS- K L MPL Slopeof isocostlineK MP and L Chapter 7 MPK  w L r w MPK r Slide 51 Cost in the Long Run  The minimum cost combination can then be written as: MPL w MPK r  Minimum cost for a given output will occur when each dollar of input added to the production process will add an equivalent amount of output. Chapter 7 Slide 52 Cost in the Long Run  Question If w = $10, r = $2, and MPL = MPK, which input would the producer use more of? Why? Chapter 7 Slide 53 The Effect of Effluent Fees on Firms’ Input Choices  Firms that have a by-product to production produce an effluent.  An effluent fee is a per-unit fee that firms must pay for the effluent that they emit.  How would a producer respond to an effluent fee on production? Chapter 7 Slide 54 The Effect of Effluent Fees on Firms’ Input Choices  The Scenario: Steel Producer 1) Located on a river: Low cost transportation and emission disposal (effluent). 2) EPA imposes a per unit effluent fee to reduce the environmentally harmful effluent. Chapter 7 Slide 55 The Effect of Effluent Fees on Firms’ Input Choices  The Scenario: Steel Producer 3) Chapter 7 How should the firm respond? Slide 56 The Cost-Minimizing Response to an Effluent Fee Capital (machine hours per month) 5,000 Slope of isocost = -10/40 = -0.25 4,000 3,000 A 2,000 1,000 0 Chapter 7 Output of 2,000 Tons of Steel per Month 5,000 10,00012,00018,00020,000 Waste Water (gal./month) Slide 57 The Cost-Minimizing Response to an Effluent Fee Capital (machine hours per month) Slope of isocost = -20/40 = -0.50 5,000 F 4,000 3,500 Prior to regulation the firm chooses to produce an output using 10,000 gallons of water and 2,000 machine-hours of capital at A. Following the imposition of the effluent fee of $10/gallon the slope of the isocost changes which the higher cost of water to capital so now combination B is selected. B 3,000 A 2,000 1,000 E 0 Chapter 7 5,000 C 10,00012,00018,00020,000 Output of 2,000 Tons of Steel per Month Waste Water (gal./month) Slide 58 The Effect of Effluent Fees on Firms’ Input Choices  Observations:  The more easily factors can be substituted, the more effective the fee is in reducing the effluent.  The greater the degree of substitutes, the less the firm will have to pay (for example: $50,000 with combination B instead of $100,000 with combination A) Chapter 7 Slide 59 Cost in the Long Run  Cost minimization with Varying Output Levels A firm’s expansion path shows the minimum cost combinations of labor and capital at each level of output. Chapter 7 Slide 60 A Firm’s Expansion Path Capital per year The expansion path illustrates the least-cost combinations of labor and capital that can be used to produce each level of output in the long-run. 15 $3000 Isocost Line 0 Expansion Path $2000 Isocost Line 10 0 C 7 5 5 0 B 300 Unit Isoquant A 2 5 Chapter 7 200 Unit Isoquant 5 0 100 15 0 20 0 30 0 Labor per year Slide 61 A Firm’s Long-Run Total Cost Curve Cost per Year Expansion Path F 300 0 E 200 0 100 0 D 100 Chapter 7 20 0 30 0 Output, Units/yr Slide 62 Long-Run Versus Short-Run Cost Curves  What happens to average costs when both inputs are variable (long run) versus only having one input that is variable (short run)? Chapter 7 Slide 63 The Inflexibility of Short-Run Production Capital per year E The long-run expansion path is drawn as before.. C Long-Run Expansion Path A K2 P K1 Short-Run Expansion Path Q2 Q1 L1 Chapter 7 L2 B L3 D F Labor per year Slide 64 Long-Run Versus Short-Run Cost Curves  Long-Run Average Cost (LAC)  Constant  Chapter 7 Returns to Scale If input is doubled, output will double and average cost is constant at all levels of output. Slide 65 Long-Run Versus Short-Run Cost Curves  Long-Run Average Cost (LAC)  Increasing  Chapter 7 Returns to Scale If input is doubled, output will more than double and average cost decreases at all levels of output. Slide 66 Long-Run Versus Short-Run Cost Curves  Long-Run Average Cost (LAC)  Decreasing  Chapter 7 Returns to Scale If input is doubled, the increase in output is less than twice as large and average cost increases with output. Slide 67 Long-Run Versus Short-Run Cost Curves  Long-Run Average Cost (LAC)  In  Chapter 7 the long-run: Firms experience increasing and decreasing returns to scale and therefore long-run average cost is “U” shaped. Slide 68 Long-Run Versus Short-Run Cost Curves  Long-Run Average Cost (LAC)  Long-run marginal cost leads long-run average cost: Chapter 7  If LMC < LAC, LAC will fall  If LMC > LAC, LAC will rise  Therefore, LMC = LAC at the minimum of LAC Slide 69 Long-Run Average and Marginal Cost Cost ($ per unit of output LMC LAC A Output Chapter 7 Slide 70 Long-Run Versus Short-Run Cost Curves  Question  What is the relationship between long-run average cost and long-run marginal cost when long-run average cost is constant? Chapter 7 Slide 71 Long-Run Versus Short-Run Cost Curves  Economies and Diseconomies of Scale  Economies  of Scale Increase in output is greater than the increase in inputs.  Diseconomies  Chapter 7 of Scale Increase in output is less than the increase in inputs. Slide 72 Long-Run Versus Short-Run Cost Curves  Measuring Economies of Scale Ec Cost  output elasticity %Δ in cost from a 1% increase in output Chapter 7 Slide 73 Long-Run Versus Short-Run Cost Curves  Measuring Economies of Scale Ec (C / C) /(Q / Q) Ec (C / Q) /(C / Q) MC/AC Chapter 7 Slide 74 Long-Run Versus Short-Run Cost Curves  Therefore, the following is true: E C  E C  < 1: MC < AC Average cost indicate decreasing economies of scale = 1: MC = AC Average cost indicate constant economies of scale E > 1: MC > AC  Average cost indicate increasing diseconomies of scale C Chapter 7 Slide 75 Long-Run Versus Short-Run Cost Curves  The Relationship Between Short-Run and Long-Run Cost  We will use short and long-run cost to determine the optimal plant size Chapter 7 Slide 76 Long-Run Cost with Constant Returns to Scale Cost ($ per unit of output With many plant sizes with SAC = $10 the LAC = LMC and is a straight line SAC1 SAC2 SMC1 SMC2 SAC3 SMC3 LAC = LMC Q1 Chapter 7 Q2 Q3 Output Slide 77 Long-Run Cost with Constant Returns to Scale  Observation  The optimal plant size will depend on the anticipated output (e.g. Q1 choose SAC1,etc). long-run average cost curve is the envelope of the firm’s short-run average cost curves.  The  Question  What would happen to average cost if an output level other than that shown is chosen? Chapter 7 Slide 78 Long-Run Cost with Economies and Diseconomies of Scale Cost ($ per unit of output SAC1 SAC3 SAC2 A $10 $8 B SMC1 SMC3 LMC SMC2 Q1 Chapter 7 LAC If the output is Q1 a manager would chose the small plant SAC1 and SAC $8. Point B is on the LAC because it is a least cost plant for a given output. Output Slide 79 Long-Run Cost with Constant Returns to Scale  What is the firms’ long-run cost curve?  Firms can change scale to change output in the long-run.  The long-run cost curve is the dark blue portion of the SAC curve which represents the minimum cost for any level of output. Chapter 7 Slide 80 Long-Run Cost with Constant Returns to Scale  Observations  The LAC does not include the minimum points of small and large size plants? Why not?  LMC is not the envelope of the short-run marginal cost. Why not? Chapter 7 Slide 81 Production with Two Outputs--Economies of Scope  Examples:  Chicken farm--poultry and eggs  Automobile company--cars and trucks  University--Teaching Chapter 7 and research Slide 82 Production with Two Outputs--Economies of Scope  Economies of scope exist when the joint output of a single firm is greater than the output that could be achieved by two different firms each producing a single output.  What are the advantages of joint production?  Consider tractors Chapter 7 an automobile company producing cars and Slide 83 Production with Two Outputs--Economies of Scope  Advantages 1) Both use capital and labor. 2) The firms share management resources. 3) Both use the same labor skills and type of machinery. Chapter 7 Slide 84 Production with Two Outputs--Economies of Scope  Production:  Firms must choose how much of each to produce.  The alternative quantities can be illustrated using product transformation curves. Chapter 7 Slide 85 Product Transformation Curve Each curve shows combinations of output with a given combination of L & K. Number of tractors O2 O1 O1 illustrates a low level of output. O2 illustrates a higher level of output with two times as much labor and capital. Number of cars Chapter 7 Slide 86 Production with Two Outputs--Economies of Scope  Observations  Product transformation curves are negatively sloped  Constant returns exist in this example  Since the production transformation curve is concave is joint production desirable? Chapter 7 Slide 87 Production with Two Outputs--Economies of Scope  Observations  There is no direct relationship between economies of scope and economies of scale. Chapter 7  May experience economies of scope and diseconomies of scale  May have economies of scale and not have economies of scope Slide 88 Production with Two Outputs--Economies of Scope  The degree of economies of scope measures the savings in cost and can be written: C(Q1)  C(Q2)  C(Q1, Q2) SC C(Q1, Q2)  C(Q ) is the cost of producing Q1  C(Q ) is the cost of producing Q2  C(Q Q2) is the joint cost of producing both products 1 2 1 Chapter 7 Slide 89 Production with Two Outputs--Economies of Scope  Interpretation:  If SC > 0 -- Economies of scope  If SC < 0 -- Diseconomies of scope Chapter 7 Slide 90 Economies of Scope in the Trucking Industry  Issues  Truckload versus less than truck load  Direct versus indirect routing  Length of haul Chapter 7 Slide 91 Economies of Scope in the Trucking Industry  Questions:  Economies Chapter 7 of Scale  Are large-scale, direct hauls cheaper and more profitable than individual hauls by small trucks?  Are there cost advantages from operating both direct and indirect hauls? Slide 92 Economies of Scope in the Trucking Industry  Empirical Findings  An analysis of 105 trucking firms examined four distinct outputs. Chapter 7  Short hauls with partial loads  Intermediate hauls with partial loads  Long hauls with partial loads  Hauls with total loads Slide 93 Economies of Scope in the Trucking Industry  Empirical Findings  Results  SC = 1.576 for reasonably large firm  SC = 0.104 for very large firms  Interpretation  Chapter 7 Combining partial loads at an intermediate location lowers cost management difficulties with very large firms. Slide 94 Dynamic Changes in Costs--The Learning Curve  The learning curve measures the impact of worker’s experience on the costs of production.  It describes the relationship between a firm’s cumulative output and amount of inputs needed to produce a unit of output. Chapter 7 Slide 95 The Learning Curve Hours of labor per machine lot 10 8 6 4 2 0 Chapter 7 10 20 30 40 50 Cumulative number of machine lots produced Slide 96 The Learning Curve   The horizontal axis measures the cumulative number of hours of machine tools the firm has produced The vertical axis measures the number of hours of labor needed to produce each lot. Hours of labor per machine lot 10 8 6 4 2 0 Chapter 7 10 20 30 40 Slide 97 50 Dynamic Changes in Costs--The Learning Curve  The learning curve in the figure is based on the relationship: L BN  N cumulative unitsof output produced L laborinputperunitof output A,B and areconstants A & B arepositive and is between 0 and1 Chapter 7 Slide 98 Dynamic Changes in Costs--The Learning Curve  If N 1: L equals A + B and this measures labor input to produce the first unit of output  If  0:  Labor input remains constant as the cumulative level of output increases, so there is no learning Chapter 7 Slide 99 Dynamic Changes in Costs--The Learning Curve  If   0 andN increases : L approaches A, and A represent minimum labor input/unit of output after all learning has taken place.  Thelarger  : the learning effect. more important  The Chapter 7 Slide 100 The Learning Curve Hours of labor per machine lot The chart shows a sharp drop in lots to a cumulative amount of 20, then small savings at higher levels. 10 8 Doubling cumulative output causes a 20% reduction in the difference between the input required and minimum attainable input requirement. 6 4  0.31 2 0 Chapter 7 10 20 30 40 50 Cumulative number of machine lots produced Slide 101 Dynamic Changes in Costs--The Learning Curve  Observations 1) New firms may experience a learning curve, not economies of scale. 2) Older firms have relatively small gains from learning. Chapter 7 Slide 102 Economies of Scale Versus Learning Cost ($ per unit of output) Economies of Scale A B Learning C AC1 AC2 Output Chapter 7 Slide 103 Predicting the Labor Requirements of Producing a Given Output Cumulative Output (N) 10 20 30 40 50 60 70 80 and over Per-Unit Labor Requirement for each 10 units of Output (L) Total Labor Requirement 1.00 10.0 .80 18.0 (10.0 + 8.0) .70 25.0 (18.0 + 7.0) .64 31.4 (25.0 + 6.4) .60 37.4 (31.4 + 6.0) .56 43.0 (37.4 + 5.6) .53 48.3 (43.0 + 5.3) .5153.4 (48.3 + 5.1) Dynamic Changes in Costs--The Learning Curve  The learning curve implies: 1) The labor requirement falls per unit. 2) Costs will be high at first and then will with learning. fall 3) After 8 years the labor requirement will be 0.51 and per unit cost will be half what it was in the first year of production. Chapter 7 Slide 105 The Learning Curve in Practice  Scenario A  new firm enters the chemical processing industry. Do they: 1) a 2) at a Chapter 7 Produce a low level of output and sell at high price? Produce a high level of output and sell low price? Slide 106 The Learning Curve in Practice  How would the learning curve influence your decision? Chapter 7 Slide 107 The Learning Curve in Practice  The Empirical Findings  Study  of 37 chemical products  Average cost fell 5.5% per year  For each doubling of plant size, average production costs fall by 11%  For each doubling of cumulative output, the average cost of production falls by 27% Which is more important, the economies of scale or learning effects? Chapter 7 Slide 108 The Learning Curve in Practice  Other Empirical Findings  In the semi-conductor industry a study of seven generations of DRAM semiconductors from 1974-1992 found learning rates averaged 20%.  In the aircraft industry the learning rates are as high as 40%. Chapter 7 Slide 109 The Learning Curve in Practice  Applying Learning Curves 1) To determine if it is profitable to enter an industry. 2) To determine when profits will occur based on plant size and cumulative output. Chapter 7 Slide 110 Estimating and Predicting Cost  Estimates of future costs can be obtained from a cost function, which relates the cost of production to the level of output and other variables that the firm can control.  Suppose we wanted to derive the total cost curve for automobile production. Chapter 7 Slide 111 Total Cost Curve for the Automobile Industry Variable cost General Motors Nissan Toyota Honda Volvo Ford Chrysler Quantity of Cars Chapter 7 Slide 112 Estimating and Predicting Cost  A linear cost function (does not show the U-shaped characteristics) might be: VC  Q  The linear cost function is applicable only if marginal cost is constant.  Marginal Chapter 7 cost is represented by .  Slide 113 Estimating and Predicting Cost  If we wish to allow for a U-shaped average cost curve and a marginal cost that is not constant, we might use the quadratic cost function: 2 VC   Q   Q Chapter 7 Slide 114 Estimating and Predicting Cost  If the marginal cost curve is not linear, we might use a cubic cost function: 2 3 VC   Q   Q   Q Chapter 7 Slide 115 Cubic Cost Function Cost ($ per unit) MC   2Q  3Q2 AVC  Q  Q2 Output (per time period) Chapter 7 Slide 116 Estimating and Predicting Cost  Difficulties in Measuring Cost 1) Output data may represent an of different type of products. aggregate 2) Cost data may not include opportunity cost. 3) Allocating cost to a particular product may be difficult when there is more than one product line. Chapter 7 Slide 117 Estimating and Predicting Cost  Cost Functions and the Measurement of Scale Economies  Scale  Chapter 7 Economy Index (SCI) EC = 1, SCI = 0: no economies or diseconomies of scale  EC > 1, SCI is negative: diseconomies of scale  EC < 1, SCI is positive: economies of scale Slide 118 Cost Functions for Electric Power Scale ScaleEconomies Economiesininthe theElectric ElectricPower PowerIndustry Industry Output (million kwh) Value of SCI, 1955 Chapter 7 43 .41 338 .26 1109 .16 2226 .10 5819 .04 Slide 119 Average Cost of Production in the Electric Power Industry Average Cost (dollar/1000 kwh) 6.5 6.0 1955 A 5.5 5.0 1970 6 Chapter 7 12 18 24 30 36 Output (billions of kwh) Slide 120 Cost Functions for Electric Power  Findings Decline in cost  Not due to economies of scale  Was caused by: Lower input cost (coal & oil)  Improvements in technology  Chapter 7 Slide 121 A Cost Function for the Savings and Loan Industry  The empirical estimation of a long-run cost function can be useful in the restructuring of the savings and loan industry in the wake of the savings and loan collapse in the 1980s. Chapter 7 Slide 122 A Cost Function for the Savings and Loan Industry  Data for 86 savings and loans for 1975 & 1976 in six western states Q = total assets of each S&L  LAC = average operating expense Q & TC are measured in hundreds of millions of dollars  Average operating cost are measured as a percentage of total assets. Chapter 7 Slide 123 A Cost Function for the Savings and Loan Industry  A quadratic long-run average cost function was estimated for 1975: 2 LAC 2.38- 0.6153Q  0.0536Q  Minimum long-run average cost reaches its point of minimum average total cost when total assets of the savings and loan reach $574 million. Chapter 7 Slide 124 A Cost Function for the Savings and Loan Industry  Average operating expenses are 0.61% of total assets.  Almost all of the savings and loans in the region being studied had substantially less than $574 million in assets. Chapter 7 Slide 125 A Cost Function for the Savings and Loan Industry  Questions 1) What are the implications of the analysis for expansion and mergers? 2) What are the limitations of using these results? Chapter 7 Slide 126 Summary  Managers, investors, and economists must take into account the opportunity cost associated with the use of the firm’s resources.  Firms are faced with both fixed and variable costs in the short-run. Chapter 7 Slide 127 Summary  When there is a single variable input, as in the short run, the presence of diminishing returns determines the shape of the cost curves.  In the long run, all inputs to the production process are variable. Chapter 7 Slide 128 Summary  The firm’s expansion path describes how its cost-minimizing input choices vary as the scale or output of its operation increases.  The long-run average cost curve is the envelope of the short-run average cost curves. Chapter 7 Slide 129 Summary  A firm enjoys economies of scale when it can double its output at less than twice the cost.  Economies of scope arise when the firm can produce any combination of the two outputs more cheaply than could two independent firms that each produced a single product. Chapter 7 Slide 130 Summary  A firm’s average cost of production can fall over time if the firm “learns” how to produce more effectively.  Cost functions relate the cost of production to the level of output of the firm. Chapter 7 Slide 131 End of Chapter 7 The Cost of Production

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