Abstract: The present invention technically relates to an optimization system that is designed to solve the multivariate polynomial equation based on machine learning. The optimization system comprises a front-end framework to receive a plurality of optimizing queries and a back end to execute the received query. A serve database stores a plurality of data entered on the input interface of the front end and a communication network transmit various recommendation executed by the back-end framework. The optimization system helps to minimize the electricity cost in caustic soda production by executing the optimizing constraints.