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GATE 2026 PI – Question 35

Operations Research and Operations Management · Production Control · 1 mark · Numerical answer

A toy-car plant has monthly demands: September 8000; October 6500; November 10500; December 9500 units. It can use ONLY in-house production, subcontracting and inventory, with subcontracted units available in the same month. In an optimal plan, October closing inventory is 1500, November in-house output 8000, and November subcontracting 1000. Find November closing inventory (integer).

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Correct answer: 0 to 0

Explanation

Apply November’s inventory balance: opening inventory + in-house production + subcontracting − demand = 1500 + 8000 + 1000 − 10500 = **0 units**. The other months’ demands are background data and do not alter this balance.

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