CMA Intermediate · Operations Management and Strategic Management · Economics of Maintenance and Spares Management
A textile mill uses a spare part with annual demand of 1,600 units. Ordering cost is ₹400 per order and carrying cost is ₹8 per unit per year. What is the economic order quantity (EOQ) for this spare?
The EOQ is 400 units. It equals the square root of 2 times annual demand 1,600 times ordering cost ₹400, divided by carrying cost ₹8, which is the square root of 160,000. At this quantity annual ordering and carrying costs are equal at ₹1,600.
- A400 unitsCorrect
- B283 units
- C566 units
- D200 units
Explanation
EOQ = sqrt(2 x 1,600 x 400 / 8) = sqrt(160,000) = 400 units. Check: orders = 4 per year, ordering cost 1,600 and carrying cost 200 x 8 = 1,600, which are equal. 283 results from omitting the factor 2 in the numerator and is wrong.
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