The Food Corporation of India (FCI) is one of India’s major corporations, with the primary goal of distributing food grains throughout the country in order to satisfy the objectives of the Public Distribution System (PDS) food security program. FCI maintains enough supplies and receives effective pricing support from the Indian Government. Improper planning, handling, and inadequate cleaning or sanitizing transportation vehicles during the movement of food grains between states throughout the country results in extra transportation and operating costs for FCI, as well as food grain waste. In this work, we looked at a mathematical model for decreasing food grain storage and transportation costs. The model incorporates atypical automobile want constraints, as well as seasonal procurement, silo garage, vehicle potential, and demand pride regulations. We obtained some raw data from FCI and PDS locations and solved it using the CPLEX approach to reduce transportation costs. The model aids in the monthly movement of food grains so that costs are minimized and the demand for food grains in each state is met.