19.2 In a certain manual operation, the first work unit required 7.83 min to complete and the learning rate is known to be 84% in the Wright model. Using this learning curve model, determines the average cumulative times to produce (a) the second unit, (b) the 10th unit, and (c) the 100th unit. (d) Find the total cumulative time for the 100 units and the unit time. for the 100th unit.

Using this learning curve model, the average cumulative times to produce (a) the second unit is 6.54 min (b) the 10th unit is 4.39 min and (c) the 100th unit is 2.46 min (d) Find the total cumulative time for the 100 units and the unit time is 1.84 min.

What is learning curve model?

The learning curve theory has proposed that the efficiency of a learner in a task gets improved by the time. The more the learner performs the task, the better is the performance.

a) m =ln (0.84)/ln2 = -0.25154

T2 = 7.83 (2)^(-0.25154) = 7.84 x 0.84 = 6.54 min

b) T10 = 7.83 x (10)^(-0.25154) = 7.84 x 0.5604 = 4.39 min

c) T100 = 7.83 x (100)^(-0.25154) = 7.84 x 0.3140= 2.46 min

Thus, the average cumulative times to produce (a) the second unit is 6.54 min (b) the 10th unit is 4.39 min and (c) the 100th unit is 2.46 min

The total cumulative time for 100th unit is

d) TT100 =7.873 x (100)^(1-0.25154) = 7.84 x 31.40= 245.86 min

TT99 = =7.873 x (99)^(1-0.25154) = 7.84 x 31.164= 244.02 min

T100 = 245.86 -244.02 = 1.84 min

Therefore, the total cumulative time for the 100 units and unit time is 1.84 min

Learn more about learning curve model.

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