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CMA Final · Strategic Cost Management · Learning Curve

Meera Engineering uses an 80% cumulative average learning curve. The first unit needs 50 hours and labour costs Rs 120 per hour. What is the labour cost of producing units 5 to 8 (the second batch of four)?

The labour cost is Rs 9,216. Total time for 8 units is 204.8 hours and for the first 4 units is 128 hours, so units 5 to 8 take 76.8 hours. At Rs 120 per hour, this gives Rs 9,216.

  1. ARs 9,216Correct
  2. BRs 24,576
  3. CRs 15,360
  4. DRs 12,288

Explanation

The average for 4 units is 50 × 0.64 = 32 hours, so the total is 128 hours. The average for 8 units is 32 × 0.8 = 25.6 hours, so the total is 204.8 hours. Units 5-8 take 204.8 − 128 = 76.8 hours, costing 76.8 × 120 = Rs 9,216. Rs 12,288 wrongly applies the 8-unit average to just four units.

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