Question

Providence Assessment Center screens and trains employees for a computer assembly firm in Boston. The progress of all trainees is tracked and those not showing the proper progress are moved to less demanding programs. By the tenth repetition trainees must be able to complete the assembly task in 1 hour or less. Susan Sweaney has just spent 6 hours on the fourth unit and 4 hours completing her eighth ?unit, while another? trainee, Julie? Burgmeier, took 4 hours on the third and 3 hours on the sixth unit.
Time required by Susan for the tenth ?unit: ?(Note: You must round all intermediate calculations to at least three decimal places before proceeding with subsequent? calculations.)

10th unit ____hours (round your response to two decimal? places).

Answer 1

We have to first determine Learning rate for both persons.

Learning Rate can be described in terms of percentage and fraction.

Thus , when the quantity doubles , the time taken to perform the doubled unit becomes Learning rate( %) /100 x Initial unit

‘Thus , if Susan has spent 6 hours on the 4^th unit and 4hours for the 8^th unit , Learning rate = 4/6 x 100 = 66.67%

Similarly, if Julie took 4 hours on the third and 3 hours on the sixth unit , Learning rate = 3/ 4 x 100 = 75 %

We will use Standard learning curve table and Learning rate of 66.67% of Susan to derive:

1. Time required for the first unit
2. Accordingly, time required for the 10^th unit

Accordingly,

Time required by Susan for the first unit = 13.5 hours

Time required for the 10^th unit = 3.51 hours

10th UNIT = 3.51 HOURS