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Question 3.J: In a learning curve application, 658.5 work hours are requir...

In a learning curve application, 658.5 work hours are required for the third production unit and 615.7 work hours are required for the fourth production unit. Determine the value of n(and therefore s) in Equation (3-5). (3.4)

Z_{u} = K \left(u^{n} \right)   (3-5)

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Z_{3}  = 658.5 = K(3) ^{n} and  Z_{4} = 615.7 = K(4)^{n}. So (658.5/615.7) = (3/4)^{n} and 1.0695 = (0.75)^{n}

Furthermore, log(1.0695) = n log(0.75). Finally, we get

n = \frac{0.0292} {-0.1249} = −0.234.

This is an 85% learning curve

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