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GATE 2024 PI – Question 62

Industrial Engineering · Facility Design · 2 marks · Numerical answer

Three series assembly stations S₁,S₂,S₃ take 6,4,T minutes per toy. Steady-state line efficiency is 75%. Find maximum T (integer minutes).

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Correct answer: 8 to 8

Explanation

Line efficiency is total task time divided by stations × cycle time: $\eta=(10+T)/[3\max(6,T)]$. If T ≥ 6, solve $(10+T)/(3T)=0.75$, giving T = 8. If T ≤ 6, the solution is T = 3.5. The maximum is **8 minutes**.

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