SOLUTION: a job is known to have a learning percentage equal to 82. if the first unit had a completion time of 20 hours, estimate the times that will be needed to complete the third and four

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Question 950233: a job is known to have a learning percentage equal to 82. if the first unit had a completion time of 20 hours, estimate the times that will be needed to complete the third and fourth units. I think you take .82 x the 20 hours and that should tell you when the second unit is completed I am lost thanks
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
This is calculating a cut in unit production time due to a learning curve, the only way I can think of to use all the information you have given in an equation.I hope this is helpful, please let me know if this is what your looking for, for my future reference on similar questions.
Y(x)=hours for xth unit; K=direct number of labor hours for first unit; x=unit number; b=learning percentage as decimal; log is base 2
Y%28x%29=Kx%5E%28log2%28b%29%29
For third unit (x=3)
Y%283%29=20%2A3%5E%28log2%280.82%29%29
Y%283%29=20%2A3%5E%28-0.286%29
Y%283%29=20%280.73%29=14.6 hrs
For fourth unit (x-4)
Y%284%29=20%2A4%5E%28log2%280.82%29%29
Y%284%29=20%2A4%5E%28-0.286%29
Y%284%29=20%280.673%29=13.45 hrs