The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it take for the seventh unit to be​ assembled?

Respuesta :

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

[tex]b=\frac{ln(0.81)}{ln(2)} \\b=-0.304[/tex]

The time it takes to produce the n-th unit is:

[tex]T_n=T_1*n^b[/tex]

If T1 = 8 hours, the time required to produce the seventh unit will be:

[tex]T_n=8*7^{-0.304}\\T_n=4.428\ hours[/tex]

It will take roughly 4.428 hours.