APPLICATION OF EXTREMA OF MULTIVARIABLE FUNCTIONS IN ECONOMIC OPTIMIZATION PROBLEMS
Keywords:
multivariable function,, extremum, optimization, conomic problem,, Lagrange method,, profit function,, profit maximization,, cost minimizationAbstract
This article analyzes the application of methods for finding extrema of multivariable functions in economic optimization problems. Issues such as minimizing production costs, maximizing profit, and efficient allocation of resources are studied through mathematical modeling. Conditional and unconditional extrema are determined using the Lagrange multiplier method and second-order sufficient conditions. Theoretical concepts are linked with practice through economic examples, such as two-product production and consumer choice problems.
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