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AUTHOR(S): Shaqir Elezaj, Lavdim Beqiri, Rame Elezaj
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TITLE Mathematical Modelling and Computational Simulation of Elasticity-Driven Profit Optimization |
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ABSTRACT This paper presents a mathematical and computational framework for elasticity-driven profit optimization. Linear and nonlinear demand–supply models are formulated in order to derive equilibrium conditions and elasticity coefficients. The analytical derivations are complemented with numerical simulation and parametric sensitivity analysis. The nonlinear equilibrium solution is obtained using the Lambert W function, while computational validation is performed through the Newton–Raphson method numerical scheme. Monte Carlo simulations and grid-search sensitivity analysis are used to examine the robustness of the equilibrium solution under parameter perturbations. The proposed analytical–computational framework provides a stability-aware approach to profit optimization and can be extended to broader economic modelling and simulation applications. |
KEYWORDS Mathematical modelling; Computational simulation; Elasticity analysis; Profit optimization; Equilibrium modelling; Numerical methods |
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Cite this paper Shaqir Elezaj, Lavdim Beqiri, Rame Elezaj. (2026) Mathematical Modelling and Computational Simulation of Elasticity-Driven Profit Optimization. International Journal of Theoretical and Applied Mechanics, 10, 16-24 |
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