Question

Unit times for a job exhibit a learning effect. If the second unit took 30 hours, and the fourth unit took 21 hours, roughly how many hours would you estimate the third unit took?

Answer 1

The answer is "24 Hours".

Explanation:

The calculated time for
`2^(nd)`unit:

`\to T_2 =T_1 * (2)^{(log(r))/(log(2))}`

`=30 ................(a)`

Calculating the time for
`4^(th)`unit:

`T_4=T_1* (4)^{(log(r))/(log(2))}`

`=21 ..............(b)`

On dividing the value from equation (a) to (b):

r= 0.7

Put the value of r into equation (a)

`T_1=42.8571`

Calculating the value of time for
`3^(rd)` unit:

`= 42.8571 * (3)^{(log(0.7))/(log(2))} \\\\=24.35 \ Hours\\\\=24`