This is the amount of time, on average, it took to perform the first four tasks. The learning curve for each doubling of production is 90%. This is calculated using the following formula for the Cumulative Average-Time Learning Model: Initial time × 2 × Learning Curve = Time for Doubled Work Using the numbers given, and letting the learning curve be X: 10 × 2 × X = 18 20X = 18 X = .90 And, 18 × 2 × X = 32.4 36X = 32.4 X = .90 We can also use the average time per task: 10 × X = 9 X = .9 And, 9 × X = 8.1 X = .9 Therefore, the average time to complete 8 units will be 90% of the average time to complete 4 units. It took 8.1 minutes on average to complete the each of the first four tasks, so it will take 7.29 minutes on average to complete each of the first 8 tasks (8.1 × .9). This is the amount of time, on average, it will take to perform the first 32 tasks. This is the amount of time, on average, it will take to perform the first 16 tasks.
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