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...

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...