Solving the production cost minimization problem with the Cobb – Douglas production function without the use of derivatives (CROSBI ID 777350)
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Podaci o odgovornosti
Kojić, Vedran ; Lukač, Zrinka
engleski
Solving the production cost minimization problem with the Cobb – Douglas production function without the use of derivatives
In this paper, we propose a new original method to solve the production cost minimization problem with Cobb-Douglas production function by using the weighted arithmetic-geometric-mean inequality (weighted AM-GM inequality). Instead of using derivatives or the Lagrange multiplier method, the minimum costs and global minimizers in the case of the Cobb-Douglas production function are derived in the direct way. The result is first derived for the case of two inputs and then generalized for the problem with n inputs.
global optimization ; Cobb-Douglas technology ; without derivatives ; arithmetic mean ; geometric mean
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Podaci o izdanju
EFZG Working Paper Series/EFZG Serija članaka u nastajanju
2014.
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