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undergraduate thesis
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Cobb - Douglas Function
Matea Radan (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Computer Science Research Group
Metadata
TitleCobb - Douglasova funkcija
AuthorMatea Radan
Mentor(s)Snježana Majstorović (thesis advisor)
Abstract
U ovom radu ćemo se upoznati s Cobb-Douglasovom funkcijom. Pokazati ćemo kako je funkcija nastala, opisati njena osnovna svojstva te navesti njene osnovne primjene. Pritom ćemo se koristiti nekim matematičkim rezultatima iz teorije funkcija više varijabli, kao što su parcijalne derivacije te rješavanje uvjetne optimizacije metodom Lagrangeovih multiplikatora. Spomenuti ćemo i neke poteškoće koje se javljaju prilikom upotrebe ove funkcije.
KeywordsCobb-Douglas function quasiconcavity homogeneity partial derivatives
Parallel title (English)Cobb - Douglas Function
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Applied Mathematics
Computer Science Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Mathematical Analysis
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2016-09-27
Parallel abstract (English)
In this paper we will be introduced to Cobb-Douglas function, show how the function is created, describe it’s basic properties and specify it’s basic applications. We will use some mathematical results of the theory of functions with multiple variables, such as the partial derivatives and solving conditional optimization by using method of Lagrange multipliers. We will mention some problems that occur when using this function.
Parallel keywords (Croatian)Cobb-Douglasova funkcija kvazikonkavnost homogenost parcijalne derivacije
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:686934