Considering Cobb-Douglas function in three variables as an explicit form of production function, in this paper an attempt has been made to maximize an output subject to a budget constraint, using Lagrange multipliers technique, as well as necessary and sufficient conditions for optimal value...

Mathematical Economics is closely related with Social Choice Theory. In this paper, an attempt has been made to show this relation by introducing utility functions, preference relations and Arrow’s impossibility theorem with easier mathematical calculations. The paper begins with some...

Applying method of Lagrange multipliers, an attempt has been made to derive mathematical formulation to workout optimal purchasing policy in order to maximize utility of an individual consumer subject to multiple constraints; in this particular illustration, two constraints: 1) budget...

Mathematical Economics is closely related with Social Choice Theory. In this paper, an attempt has been made to show this relation by introducing utility functions, preference relations and Arrow’s impossibility theorem with easier mathematical calculations. The paper begins with some...

Using method of Lagrange multipliers, an attempt has been taken in this paper to derive mathematical formulation to devise optimal purchasing policy in order to maximize utility function subject to multiple constrained, in this particular illustration, two constraints: 1) budget constraint, and...

Mathematical Economics, Social Science and Political Science are inter-related. In this paper, an attempt has been made to describe aspects of these subjects by introducing examples, definitions, mathematical calculations and discussions. Game Theory is included in this paper to study...