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nes) 1 1 2 2p y w x w x? ? ? ?2121wwy x xp p p?? ? ?slope vertical intercept 45 45 IsoProfit Lines ???????????????y x1 S lo p es wp? ? 146 46 ShortRun ProfitMaximization S lo p es wp? ? 1x1*y*x1 y ???????????????? ?12,y f x x?MP w p p MP w1 1 1 1? ? ? ?47 47 ShortRun ProfitMaximization。1 2 2 技術(shù)( Technologies) 什么叫技術(shù)? 技術(shù)是投入轉(zhuǎn)換為產(chǎn)出的過(guò)程 . labor, a puter, a projector, electricity, and software are being bined to produce this lecture. Usually several technologies will produce the same product . a blackboard and chalk can be used instead of a puter and a projector. Which technology is “best”? How do we pare technologies? 3 3 Production Functions y denotes the output level. The technology’s production function states the maximum amount of output possible from an input bundle. y f x x n? ( , , )1 ?4 4 Production Functions One input, one output y = f(x) x1 Input Level x Output Level y1 y1 = f(x1) is the maximal output level obtainable from x1 input units. 5 5 Technologies with Multiple Inputs Suppose the production function is 1 / 3 1 / 31 2 1 2( , ) 2y f x x x x???(x1, x2) = (1, 8) ?(x1,x2) = (8,8) 1 / 3 1 / 3 1 / 3 1 / 3122 2 1 8 2 1 2 4y x x? ? ? ? ? ? ? ?1 / 3 1 / 3 1 / 3 1 / 3122 2 8 8 2 2 2 8y x x? ? ? ? ? ? ? ?6 6 Technologies with Multiple Inputs Output, y x1 x2 (8,1) (8,8) 7 7 Isoquants with Two Variable Inputs y ????y ????x1 x2 8 8 用產(chǎn)量面表示生產(chǎn)函數(shù) L O K TP K1 L1 L2 K2 A A’ B B’ C C’ D D’ Q1 Q2 E1 F1 G1 E2 F2 G2 E1’ E2’ G1’ G2’ 9 9 Isoquants with Two Variable Inputs Output, y x1 x2 y ????y ????10 10 CobbDouglas Technologies A CobbDouglas production function is of the form 1212naaany A x x x? ? ?1 / 3 1 / 312y x x?12112 , 1 ,33n A a a n d a? ? ? ?11 11 Fi