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?

Respuesta :

Answer:

The answer is "24 Hours".

Step-by-step explanation:

The calculated time for [tex]2^{nd}[/tex]unit:

[tex]\to T_2 =T_1 \times (2)^{\frac{log(r)}{log(2)}}[/tex]

        [tex]=30 ................(a)[/tex]

Calculating the time for [tex]4^{th}[/tex]unit:

[tex]T_4=T_1\times (4)^{\frac{log(r)}{log(2)}}[/tex]

     [tex]=21 ..............(b)[/tex]

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

 r= 0.7

Put the value of r into equation (a)  

[tex]T_1=42.8571[/tex]

Calculating the value of time for [tex]3^{rd}[/tex] unit:

[tex]= 42.8571 \times (3)^{\frac{log(0.7)}{log(2)}} \\\\=24.35 \ Hours\\\\=24[/tex]

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