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CMA Final · Strategic Cost Management · Learning Curve

A Pune engineering firm expects an 80% learning curve (cumulative average time model). The first unit of a new pump takes 100 labour hours. How many labour hours will units 3 and 4 together take?

Units 3 and 4 together take 96 hours. Under the cumulative average model the first 4 units average 64 hours, giving 256 hours, and the first 2 units total 160 hours. The difference of 96 hours is the time for the additional two units.

  1. A96 hoursCorrect
  2. B128 hours
  3. C64 hours
  4. D160 hours

Explanation

Average for 2 units = 80 hours, so total for 2 = 160. Average for 4 units = 64 hours, so total for 4 = 256. Units 3 and 4 take 256 - 160 = 96 hours. Taking 2 x 64 = 128 wrongly applies the 4-unit average to only two units.

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