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This paper focuses on one of the most widely used techniques in operations research which means a straightforward system (linear programming). A parallel system is a mathematical way to provide the right solution to problems where both purpose and need are specific. A systematic planning process took place during World War II. The rapid implementation of the equitable system in various fields began after World War II. This study provides insight into the assumptions and structures of a specific plan. It also defines the process of creating any problem as a problem of a coherent system if all assumptions are satisfied. Limitations and mathematical structures are also explained. No person or organization can succeed without making the right decision. So making decisions in today's social and business environment can be a daunting task. It is proposed to use co-ordinated planning strategies in the area of personnel management to reduce the cost of a particular training program adopted by the overcrowded institution, including both educators and non-educators. The institute wishes to send its staff a training program that is essential for environmental development at a low cost.