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Cobb douglas Utility Function

the CobbDOuglas takes the form: y=A.K^a.L^b There are many neat things about this formulation. To get the elasticity of output with respect to a factor of production you differenti...
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Cobb Douglass indeed involves exponentials. Utility of (X,Y) bundle is X^a*Y^b where a & b are some positive numbers. It is a strictly monotone preference, so it is indeed represen...
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You have to maximize the utility function U=X*AY*B subject to the budget constraint, XPx+YPy=MT. The share spent on X is A, and the share spent on Y is B. To find the elasticity, t...
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Charles Cobb and Paul Douglas. In economics, the Cobb–Dou...
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Cobb-Douglas function A model of the aggregate production function ... ...MORE...
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Cobb douglas Utility Function

Nonetheless, the CobbDouglas function has been applied to many other contexts besides production. It can be applied to utility as follows: U(x1,x2)=x1αx 2β; ...
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These two expressions are mathemat- ically equivalent. The Cobb-Douglas function is three dimensional with utility or output mea- sured along the vertical axis.
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calculus. For example, if the utility function is. U = xy then. MRS = y x. This is a special case of the "Cobb-Douglas" utility function, which has the form: U = xayb.
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