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CMA Final · Strategic Cost Management · Learning Curve

A Pune firm's first unit of a new machine took 800 labour hours. The production process follows an 80% cumulative average time learning curve. What is the total time for the first 4 units?

The total time for four units is 2,048 hours. With an 80% cumulative average curve, the average time falls to 640 hours at two units and 512 hours at four units, so total time is 4 multiplied by 512.

  1. A2,048 hoursCorrect
  2. B1,600 hours
  3. C2,560 hours
  4. D1,920 hours

Explanation

Under the cumulative average model, each doubling of output cuts the cumulative average time to 80%. For 2 units average is 640; for 4 units average is 512. Total = 4 x 512 = 2,048 hours. Option 2,560 uses 4 x 640, which applies only one doubling.

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