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 the equation Z U=K(u^n ), where u=the output unit number; Z_=the number of input resource units to produce output unit u; K=the number of input resource units to produce the first output unit; s=the learning curve slope parameter expressed as a decimal (s=0.9 for a 90% learning curve); n=log⁔s/log⁔2 =the learning curve exponent.

Respuesta :

Answer:

  • n ā‰ˆ -0.2336
  • s ā‰ˆ 0.8505

Step-by-step explanation:

We can put the given numbers into the given formula and solve for n.

Ā  658.5 = kĀ·3^n

Ā  615.7 = kĀ·4^n

Dividing the first equation by the second, we get ...

Ā  658.5/615.7 = (3/4)^n

The log of this is ...

Ā  log(658.5/615.7) = nĀ·log(3/4)

Ā  n = log(658.5/615.7)/log(3/4) ā‰ˆ 0.0291866/-0.124939

Ā  n ā‰ˆ -0.233607

Then we can find s from ...

Ā  log(s) = nĀ·log(2)

Ā  s = 2^n

Ā  s ā‰ˆ 0.850506