Q1. Which of the following statements are true? Give reasons for your answers.
- i)) If an item is ordered frequently, then the risk of running out of stock is least. (200 words)
- ii)) In deterministic queuing model, arrival rate must not exceed the service rate. (200 words)
- iii)) The critical path of a project network represents the minimum time needed to complete the project. (200 words)
- iv)) A necessary and sufficient condition for a basic feasible solution for a minimization LPP to be optimum is that all Z; - C; ≥ 0. (200 words)
- v)) If dual has an unbounded solution, primal has a feasible solution. (200 words)
- Frequent ordering in inventory may increase stockout risk due to lower safety stock.
- Deterministic queuing systems require arrival rate ≤ service rate for stability.
- Critical path duration defines the absolute minimum project completion time.
- Minimization LPP optimality condition is Zⱼ - Cⱼ ≤ 0 for non-basic variables.
Answer: As an expert IGNOU tutor, I have analyzed the AOR-01 Operations Research course material to provide comprehensive answers to the given statements. Each sub-question is addressed individually, clarifying whether the statement is true or false and providing detailed reasoning based on fundamental concepts of Operations Research.