Worked Solution
✓ VerifiedEconomic Order Quantity (EOQ) Analysis — Reliable India Pvt Ltd
Preliminary Calculations:
Annual raw material requirement = 1,50,000 units ÷ 3 units per kg = 50,000 kg per annum
Ordering cost per order = Handling cost + Freight = ₹1,470 + ₹770 = ₹2,240 per order
Carrying cost per kg per annum = Incremental carrying cost + Working capital finance cost = (₹3 × 12) + ₹20 = ₹36 + ₹20 = ₹56 per kg per annum
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(i) Economic Order Quantity:
Using the EOQ formula: EOQ = √(2 × D × O ÷ C)
EOQ = √(2 × 50,000 × 2,240 ÷ 56) = √(2,24,00,000 ÷ 56) = √40,00,000 = 2,000 kg
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(ii) Frequency of Orders:
Number of orders per year = Annual Demand ÷ EOQ = 50,000 ÷ 2,000 = 25 orders per year
Frequency (time between orders) = 360 ÷ 25 = every 14.4 days (approximately every 14–15 days)
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(iii) Minimum Discount Required for Quarterly Ordering:
Under quarterly ordering, order quantity = 50,000 ÷ 4 = 12,500 kg per order.
Cost at EOQ: Total (Ordering + Carrying) = ₹56,000 + ₹56,000 = ₹1,12,000
Cost at Quarterly Ordering: Total (Ordering + Carrying) = ₹8,960 + ₹3,50,000 = ₹3,58,960
Incremental cost due to quarterly ordering = ₹3,58,960 − ₹1,12,000 = ₹2,46,960
This additional cost must be recovered through a price discount:
Annual purchases at current price = 50,000 kg × ₹190 = ₹95,00,000
Minimum discount % = ₹2,46,960 ÷ ₹95,00,000 × 100 = 2.60% (approx.)
The company should negotiate a minimum discount of 2.60% on the purchase price of raw materials to justify switching to quarterly ordering.
Write it like this
1The skeleton
- Start with a 'Given' / 'Preliminary Calculations' block — convert units to kg per annum and combine ordering cost and carrying cost before touching the formula; examiners expect to see these derivations explicitly, not embedded inside the EOQ step.
- Write the EOQ formula in variable form first, then substitute — EOQ = √(2 × D × O ÷ C) stated once earns the method mark even if your arithmetic slips later.
- Label every part heading clearly (i), (ii), (iii) — examiners allocate sub-marks per part; unlabelled answers force them to hunt, and you lose benefit of doubt.
- For the frequency part, give BOTH outputs — number of orders per year AND days between orders; the question says '360 days' as a hint, use it or you leave a half-mark on the table.
- For the discount part, show the cost comparison table explicitly — list EOQ total cost vs quarterly total cost, then compute the incremental gap; jumping straight to the % looks like guesswork even if correct.
- State your conclusion in one line — 'The company should demand a minimum discount of 2.60% to justify quarterly ordering'; examiners reward a decision sentence, not just a number hanging in the air.
2Examiner-rewarded phrases
3Common trap
Most students forget that carrying cost has TWO components here — the ₹3/kg/month incremental cost AND the ₹20/kg/annum finance cost — and use only one of them in C, which destroys the EOQ and every subsequent answer. The question separates them deliberately to test whether you can combine them; if your C isn't ₹56, your entire answer cascades wrong.