A natural Teak resource is available only in few tropical and sub-tropical countries like India, Myanmar, Thailand etc. India is the leading exporter of teak resources in early decades, but presently the country is becoming the major net importer of teak resources in order to meet their requirements. Based on the constrains, the present study was conducted in farmlands under Cauvery Delta Zone (CDZ) of Tamil Nadu to analyze the available teak resources and their influence on growth and volume production. The growth and volume production of teak among the farm grown teak in different age class were recorded in cauvery delta agroclimatic zone of Tamil Nadu. In this study, we evaluate the use of a linear program (LP) to achieve sustainable yield management in the Cauvery Delta Zone specifically for teak trees that are between 12 and 13 years old age class attaining maximum yield 56. 16 tonnes and DBH (0.6477 m). Hence, it is concluded that under farmland condition, Cauvery delta zone is more superior zone for teak plantation due to the influence of optimum climatic and edaphic factors. Through the use of the simultaneous equation, a sustainable height and DBH are calculated, and the accuracy of the prediction is enhanced with increasing stand age. The final step is determining which model, the linear program or the SPSS software-ARIMA model, provides the best fitting results.