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In order to get hired as an assembly line specialist, the applicant will have to show that they can perform their task in less than 5 minutes after 1000 tries. During the interview, the applicant was asked to perform their future job five times. The applicant was able to complete the task in 10.8 minutes and the company was to estimate their learning curve to be 90%. Given this information, how much time will the applicant take to perform the task a 1000th time

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hyderali230

Answer:

The Applicant will take 3.78 minutes to perform the task a 1000th time.

Explanation:

The Learning curve is the graphical representation that determines that how much time someone takes to learn a special skill.

The time on the 1,000th applicant can be calculated as follow

[tex]T_{1000}[/tex] = [tex]T_{1}[/tex] x [tex]1000^{((log LCR/log2)}[/tex]

Where

[tex]T_{1}[/tex] = 10.8 minutes

LCR = Learning Curve Rate = 90% = 0.90

[tex]T_{1000}[/tex] = 10.8 minutes

Placing values in the formula

[tex]T_{1000}[/tex] = 10.8 minutes x [tex]1000^{((log 0.90/log2)}[/tex]

[tex]T_{1000}[/tex] = 10.8 minutes x [tex]1000^{(-0.152003093)}[/tex]

[tex]T_{1000}[/tex] = 10.8 minutes x 0.349937689

[tex]T_{1000}[/tex] = 3.779327044 minutes

[tex]T_{1000}[/tex] = 3.78 minutes

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