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GATE 2024 PI – Question 64

Operations Research and Operations Management · Production Control · 2 marks · Numerical answer

An item uses classical EOQ. Ordering cost per order rises 20% and demand rate also rises 20%. By what percentage does time between orders increase (integer)?

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Correct answer: 0 to 0

Explanation

EOQ scales as $\sqrt{DS}$, so $Q_{new}/Q_{old}=\sqrt{1.2\cdot1.2}=1.2$. Time between orders is Q/D, whose ratio is 1.2/1.2 = 1. Thus the percentage increase is **0%**, assuming holding cost stays fixed.

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