Which of the following statements are true? Give reasons for

Question

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.
ii) In deterministic queuing model, arrival rate must not exceed the service rate.
iii) The critical path of a project network represents the minimum time needed to complete the project.
iv) A necessary and sufficient condition for a basic feasible solution for a minimization LPP to be optimum is that all $Z_j - C_j \geq 0$ .
v) If dual has an unbounded solution, primal has a feasible solution.

09 Jan 2026

Answer :

Word Count : 218

i) False. Frequent ordering generally implies smaller order quantities, which increases the number of replenishment cycles. While this may reduce average inventory, it does not automatically minimize the risk of stock-out. Stock-out risk depends on lead time variability, demand uncertainty, and safety stock, not merely on ordering frequency. ii) True. In a deterministic queuing _______ _____ ________ ________ _______.
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