We define and study a new class of positive Toeplitz operators on the Bergman space of the unit disk that we call poly-quasihomogeneous Toeplitz operators. We call f poly-quasihomogeneous of degree m if it is of the form \(f(e^{i\theta })\phi (r)\) , where \(f(e^{i\theta })\) is a polynomial of \(e^{i\theta }\) of degree m and \(\phi (r)\) is a radial function. We develop a systematic study of their basic properties, derive explicit formulas for their action on monomials, describe their commutants, and prove general structural theorems related to their algebraic and spectral properties. In particular, the theoretical results we present generalize classical results about quasihomogeneous Toeplitz operators and yield fresh insights into the overall algebraic structure of Toeplitz operators on Bergman spaces. If the title of the article gets your attention, we agree with that, so we list some, thereby showing unexpected applications for these mathematical structures to sustainability science and smart systems, for example, as optimization in energy grid or environmental monitoring or resource management. These applications emphasize the practical applicability of our theoretical framework away from pure mathematics, bridging operator theory with current problems in sustainable technology development.