Die Isoquanten-Funktionsgleichung

Grafische Darstellung der Isoquante
Im folgenden werden immer zwei Produktionsfaktoren betrachtet: Der Produktionsfaktor [math]x[/math] (zum Beispiel Arbeitskraft) und der Produktionsfaktor [math]y[/math] (zum Beispiel Kapital).[br][br]Wie wir im vorhergehenden Kapitel festgestellt haben, sind diese beiden Größen für den Ertrag oder den Output des Unternehmens nicht unabhängig. Eine Person mit einem Aufsitz-Rasenmäher kann in der gleichen Zeit genau so viel Rasen mähen, wie z.B. 10 Personen mit einem Hand-Rasenmäher.[br]Je mehr Kapital eingesetzt wird, desto weniger Arbeitskraft ist notwendig. Das kann in jeder Branche wiedergefunden werden, in der Fließbandarbeit zunehmend durch automatisierte Prozesse ersetzt wird.[br][br]Wenn eine feste Menge an Output erzeugt werden soll, dann geht das mit unterschiedlichen Kombinationen der Produktionsfaktoren [math]x[/math] und [math]y[/math]. Diese Kombinationen kann man mit ihren Werten in einem Koordinatenkreuz darstellen. Dabei erhält man [b]für jeden gewünschten Output[/b] [i]einen[/i] Funktionsgraphen, die [color=#980000][b]Isoquante[/b][/color].[br][br]Die Funktionsgleichung der Isoquanten hat drei Parameter, [math]k[/math], [math]a[/math] und [math]b[/math]:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAAAqCAYAAABMd5x3AAAN5UlEQVR4nO2dBZQUyxWGA0GCu7sFd/dAcAnu7hY8aJDgIbg7wd0huLu7E9zdXfbt93LqnUpvz0z3WPcu9Z+zh5mW6pru+uve+99bTZiAgIDfKSjYFR8/foxw7969xM+ePYudOXPmc5EjR35ndZ98jTBWd0BBwRnmzZvXcP78+Q0OHDhQ8P79+4kUKRUULEarVq2mYS0fP34cL2HChA+s7o8/oEipYHvs3r37T4HYbXU//AVFSgVb48ePH6H37t1bZNy4cR2t7ou/oEipYGucOXMm68uXL2MULVp0j9h28eLFDA8fPkxQvHjxnaFChQpxSqUipYKtsWvXrmIpUqS4mTRp0jtfvnwJN2bMmM5p06a9Mn369Jbnzp3L3KlTp7FW99HbUKRUsDUgZZEiRfZCyCFDhvy9bdu2k1+9ehV969atperWrbvI6v75AoqUCrbF9+/ff0882b9//wHDhg3r1bFjx3ExY8Z8ES9evMdv3ryJGjFixA9W99EXUKRUsC1OnDiRE/JNmTKlTfv27Sd8+/btt/EaUgkJFCkVbAtSIalTp/7vlStX0q5atapqhgwZLm7YsKFCvnz5DlvdN19CkVLBtoCUKKyhQ4f+Ub169RWTJ09uu2TJktqQElU2duzYzxIlSnTf6n56G4qUNgIxVCC+++s8OwNXdf/+/YVQWcW2169fRyOe5PPKlSur9e3bd5B1PfQdFCltgh07dvz5xo0bKVu0aDHD7LnUhmIxSpYsuc0XfbMCJ0+ezPH27dsociVPjhw5TmI179y5kzR+/PiPwoYN+9XCLvoMQUh5+vTpbGPHju1EwvbDhw8RCajjxInztFGjRnMLFy68z4pOhnSQbyNmmjRpUjt3zm/cuPGcpk2bzmagspLC2/2zAuQlEXj4TWIb43LmzJnNUWTbtGkzxcr+eQJWvNB/iuyzZct2euPGjeXk/UFIyUFz5sxpTFKW0iaqJ9KnT3/Jf13+uYCbRu4NAcOTdhiw5cuX/w95vTBhwnzzVv+sAmRs3br1VHlbpEiR3pMWsapP3gKx8PLly2vAq/z58x/S7nfovh45ciQvs5UipG8xe/bspggX0aJFe+1JO1GjRn1DKdq0adNatWvXbpK3+qfgGBcuXMh46NCh/M2bN59p9tznz5/HQlWmMEK7T5eU+PLHjx/PFVIrJuwEvBFPraRAy5Ytp5cqVWorljck1oTaDYR4169fT+XOubjg4cOH/5w3b94j2n26pET1wq0qVqzYLncu+LMjICAgFPfPlRBB/E75GLWdzo779OnTHwLxSXz//PlzeB6o9jhRH4pIkjNnzhPu/wIFX4MwI0+ePEd5rl+/fg0rjxVdUpIf4t+faQ2bwKJFi+pOnDjxryiaqVKlum72fKpQtm3bVhJPo379+gsqV668RuwbMGBAf1RS4e5wn3PlynXcUVsIAOfPn8/EZ2L7kSNH/o2+UWrGPtICxFnyOYhxe/bsKapIaW/w7CHloEGD+vI8MYToOFhOh6RMnjz5Lf5cNY4JDxcu3Bft4Aiu4OYQJ9y8eTOFWVJipdauXVtp4MCB/Xr06DF87ty5jQQpsZ4QavDgwX3E8deuXUtDlYpeWxALi9i9e/d/8Z24s0qVKqu3bNlSGlWSguy7d+8mSZcu3WX5PJ4ZsYqrvtK3gwcPFjD623CHGTTa6ymYB+orky2iau/evYeSY2Yc1KlTZzHPLggpiSdxf5jlHTXKgJ06dWprxIXEiRPfI29EhQWFw3aU5CGE0RgLFROFj+VBZq+zZs2ayhCHz1iyatWqrRT7eAg8DNn74BUXjq6zfv36ilhG+VieCSmqBg0azC9QoMBBPYLEiBHjJSkWV30tXbr0lkyZMp03+tvID7pysxWMAaNH+DF+/PgOouiDdw/BK11Suoonly5dWgvFEPcubty4T8R23KuyZctuwn1D8jXTSawts8bt27eTmf2BRlCmTJnNVH8UKlRov6tjsfruEBKUK1duIzcXUkDCFStWVBf7eBC8Y0ZuG5Iysem19Y9AiM8oddwbSs74zn2X770MXCHaddVXUg5yDtBb6Nev38DLly+n83a7vgSxuDwBanH48OF8o0eP7qLdzn1msbWe2MOk16xZs1l67eEF4aZGjx79ldgmvBtqA4KQ0lk8iUqIW4ZV1Er4mF+KhydMmNCe2MnRD9QD1+TGmDnHKLD83AQmE1+0L0O8aY36zKxZs56RCYjapr2nuPyIOM7aAtwfJgsjhdi0FyFChI9u/wgP0a1btxHyao7gAFclirlz5z5Gqkm7HbISRjARafc5W8VC0QAGTN6Gd4rYw5jRJWXKlClvaElC3SHMHzFiRDdHOTUswdmzZ7OI70ePHs2D5aSYmKogtpHbiRUr1nNmacrKtm/fXoI4DHM+a9asZjVr1lwWJUqUt8Q7ly5dSo+fzSSA9aHMSggjjx49io+7SLDMdra9ePEiJnEWhGBwItowazMjLVu2rCY5IX/ERHgbzJTiO+4z93Xo0KG95eOo4+S+umoPpQ7hRiYb90MvVGABcIIECR66anP48OE9SGC7/jX/AwN3xowZLbJkyXLW2XE8O6NtBhfw2wkLtNv5rainevuc4datW8khurxt3bp1fwnEOrj1f6Rk7RokomxL29DixYvr8MDlOEkLhAshjjBocLl48RHCBxaU7ZQXMZtWrFhxPcQsUaLEdlwH3DWqG7AeuAS4w7znE9eTBa7UhFaoUGEDahWxkCAwVSxXr179I20jgEBWrgXJsUzMSsR5XEcUM7u6YZs3by5D2RrWydBd1oCJoWHDhvPEd1IfuDrakAAlVs9lf/DgQUJee8F9wk1lNuY+iP24xqi7eqTkxcVGXsWIx8Of+V+n4Cl4prLryoTNuGWc8/03UmJZFixYUJ8VBxBLu/IAU812RyorRILQopoEi1irVq2lNWrUWC4Kpd+/fx8J6yliO0w8MwODGJVSmHwIjXVFcGH2KFiw4AG2Y71xoelb7dq1l+zcubO4rF5S1E0Cnc8IO1h8+tGnT5/BfDZywzh24cKF9bDsziYgZ8ByEyeL39yhQ4fxEAX3Xj4Od5RJRns+8TpCGqkTrC4Ci8hT0h7PiVdj6F0bsvbq1WuYO/1W8A/gBd4fRuPJkydxGeeEV2nSpLnG/l9JifuIWog5ZvZkpqYqBLk2WbJktzkGuR8RwdGFUJIYdFgvvkMa4jlmeeGPM8AyZsx4QTb3xFq4pLIPTlUK/zKDyC9G4odwDWH6qY0UJCR9wMRBPCeO5/pYKSMCj0DXrl1HJUmS5K4nKy5Y90fqA3EAa8vkhqXWHkdZXJMmTf797t27yHIMSfE/28h3QmaUWDwJrCfxGiq3XhzES4vxVlTRh73BxD9q1KiuPE9UdQgph1W/krJSpUpr+XPWEAMIBZNBoS14PnbsWG6q97FccqUJriPWlRiS7+IlSHQERRErt2/fvsJCABGqFFaBeBN3mviQfUwUuLQiDqIftIdV4TuExJLiGtAPlEryjbi6uArMSLjD2bNnP+Xsd7Lf1THOgGtJDMkkxfenT5/GIdeojScBRMRD4KHISh1uvdaC6p2vBfcGz+JneLW/XUCqyOw5CDo9e/b8p6P9hlUy4kzcOpRVYkSR91u9enUVLAJWDSson4OrK9xdXFSWJxEnkSqoV6/eQrYTwyHmQBpIJt7vSXuQn9kfgaNLly6jSb6LleZcn7axsBCUfVwfUmBlOIa8D8IE7i591FPJvAmug6vNhMB9YRsWkwmPvKLeOcya5B0dyedmwIJgxC1P21EwBkRGd9NnzmCYlFhASINFhCAofAx+VpE4Wi5EyRdkFqVhxIO4lwxQEegSG0FS2pJXkmM1eVkSgg6kg8xy6Rju26ZNm8qKthF3UAeJqXD/OAbiE0AzWDt37jzG1y9bok+QknWRWEv6hIWnesbROVh3rCVk8mQBABMmMbCvUksKQUFoIrIK3oSpfBKDjv9wxcw52mUtWmsFqfVe64ClRDRiNnLUNuSWLZC2Hdw44i8z/fUUEBJ3lImEgghEHlfnMGEQy6KmulMRhTCGyKaX4FYIfrBdkhcXEGuMu4tLa3V/zAKlFJKZPY+0EHGxO9fEy0A4cOdcX4KCeZ4jHgopLVJXxPuEJAh0/o59ERrROfDqSM3hxWgVcTvAdqQEWEeS/iiqVvfFXyBG1luFbgTunudLoCwSW+NS4wUQiuBa8y/9pWjCbOWXuyCU4LpM+KxfpZQNL4w3bJC6knOGdoDtSImL7In6qWA9sEYQUCjnFG2gJpPLJk2FHqEtM/MlCGGwkrj4jC9iQdJy5K7tRkhgO1IqBH9gicRqGYAijqqOu8ofAp2z8xHnxDpSVyAlQbGGI3JRLE6lDBZSzu3iSosCf7tBkVLB69AWXpCLphjF6PnUPFMTbfR41HdENb19KN+UelatWnWV2IYIR58oyzR6DX9CkVLBpyAPzZ/8/0u6AhVJ3qpK4gVwuKnyMjXSZhSm2PXNGoqUCl4H4gkFH1RmkcMmhpMtGbnpQAzxV3+0b3egTxCVEkaqoBCeWKzvr/64giKlgldB+SQDnlU2KLAMer6LFTfEcr5IuDsChJPjU1bRUJAiRKhTp05lZ9GEv/pjBIqUCl4FlV+orayAIXeKRUT9ZNEDb22j/thIQYW3wIIG4kmuj/LL9akCo5aYNbaCnHaCIqWCV4G6ivVhsTtrQFmax0ohVtbzmhiW5PmzP6iyrLZhCR+CkHBTWajA+mAz7ynyF34BTgFoPjqUD/kAAAAASUVORK5CYII=[/img][br]
Die Parameter der Isoquanten
[color=#980000][i][b][size=150]a = untere Grenze für x[/size][/b][/i][/color][br]Der Parameter [math]a[/math] gibt die Menge des Produktionsfaktors [math]x[/math] an, die überschritten werden muss, damit überhaupt etwas ökonomisch sinnvoll produziert werden kann. [br][color=#980000][i][b][size=150]b = untere Grenze für y[/size][/b][/i][/color][br]Der Parameter [math]b[/math] gibt die Menge des Produktionsfaktors [math]y[/math] an, die überschritten werden muss, damit überhaupt etwas ökonomisch sinnvoll produziert werden kann. [br][color=#980000][i][b][size=150]k = ein Maß für den Output[/size][/b][/i][/color][br]Der Parameter [math]k[/math] steht in direkter Beziehung zum [i]Output[/i]. Wenn [math]a[/math] und [math]b[/math] gleich bleiben, dann bedeutet ein höheres [math]k[/math] einen größeren Output des Unternehmens. Diese Abhängigkeit ist allerdings in der Regel nicht proportional.[br]
Output bei unterschiedlichen Kombinationen der Produktionsfaktoren x und y
Berechnen der Isoquantenfunktion
Aus der Tabelle oben lassen sich Kombinationen von [math]x[/math] und [math]y[/math] ablesen, die zu dem gleiche Ertrag führen.[br]Zum Beispiel die gelb hinterlegten Zahlen entsprechen den Kombinationen: [math]K_1(4|12)[/math] , [math]K_2(6|8)[/math] und [math]K_3(10|6)[/math].[br]Damit haben wir drei Informationen über unsere gesuchte Isoquantenfunktion für einen Output von [math]600ME[/math]. Das ist genug information um 3 unbekannte Parameter zu berechnen:[br][br]Einsetzen von [math]K_1[/math] in die Isoquantenfunktion [math]y(x)=\frac{k}{x-a}+b[/math] ergibt: [br][math]12=\frac{k}{4-a}+b[/math][br]Wenn man die gesamte Gleichung mit [math](4-a)[/math] multipliziert, dann hat man eine Gleichung, in der es keinen Bruch mehr gibt:[br][math]12\cdot(4-a)=k+b\cdot(4-a)\Rightarrow48-12\cdot a=k+4\cdot b-a\cdot b[/math][br]Wenn man das gleiche mit den anderen beiden Kombinationen auch noch macht, dann erhält man drei Gleichungen:[br][img]data:image/png;base64,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[/img][br][br]Wenn wir von der ersten Gleichung die zweite abziehen, dann haben wir einen Parameter, das k schon beseitigt:[br][img]data:image/png;base64,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[/img][br]Das gleiche kann man mit den Gleichungen [math]III[/math] und [math]I[/math] machen:[br][img]data:image/png;base64,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[/img][br]Nun haben wir zwei Gleichungen, die nur noch [math]a[/math] und [math]b[/math] enthalten. Das führt zu dem neuen Gleichungssystem:[br][img]data:image/png;base64,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[/img][br]Wenn wir die erste Zeile mit drei multiplizieren und dann Gleichung [math]B[/math] von Gleichung [math]A[/math] abziehen, erhalten wir[br][img]data:image/png;base64,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[/img] [br]und durch Auflösen nach [math]a[/math] folgt daraus [math]\underline{\underline{a=2}}[/math][br]Dieses A können wir in die Gleichung [math]A[/math] einsetzen, welche wir nach [math]b[/math] auflösen. Daraus folgt [br][math]4\cdot2=2\cdot b\Rightarrow\underline{\underline{b=4}}[/math][br][br]Wenn wir diese berechneten Werte für [math]a[/math] und [math]b[/math] in die Gleichung [math]I[/math] einsetzen, erhalten wir:[br][math]48-12\cdot2=k+4\cdot4-2\cdot4[/math][br]Lösen Sie diese Gleichung nach [math]k[/math] auf und Sie erhalten [math]\underline{\underline{k=16}}[/math][br][br]Damit sind alle drei Parameter bestimmt und unsere Isoquantenfunktion zum Output von [math]600ME[/math] heißt:[br][math]I_{600}:y(x)=\frac{16}{x-2}+4[/math][br]
Verwenden des CAS-Taschenrechners HP-Prime
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Information: Die Isoquanten-Funktionsgleichung