Applications of Multivariable Calculus in Economics

Zrinka Lukač ()
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Zrinka Lukač: University of Zagreb, Faculty of Economics & Business

Chapter 19 in Economic Analysis Through Mathematics, 2026, pp 457-466 from Springer

Abstract: Abstract Economics is the study of how individuals, businesses, and governments make decisions under conditions of scarcity. These decisions often involve optimizing certain outcomes—maximizing utility, minimizing costs, or maximizing profits—subject to various constraints like limited resources, budget restrictions, or technological capabilities. In this part we have seen the indispensable role of multivariable calculus in providing the mathematical framework for understanding and modeling these complex economic relationships. By extending the concepts of derivatives and optimization to functions of several variables, we have obtained powerful tools which enable us to analyze intricate interdependencies, derive optimal strategies, and predict economic behavior more accurately. From understanding consumer preferences and firm production decisions to modeling macroeconomic growth and policy interventions, the principles of multivariable calculus are foundational to modern economic theory and empirical analysis. Throughout this part of the book, we have already seen many applications in economics, however in this section we still review them and list some more applications.

Keywords: Applications; Marginal effects; Optimization; Lagrange multipliers method; Utility maximization; Dual problem; Minimum expenditure problem; Profit maximization; Cost minimization for a given level of output; Optimizing policy instruments; Econometrics; Homogeneous functions (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-032-08812-3_19

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DOI: 10.1007/978-3-032-08812-3_19

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