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Conversion Factors for the Cumulative Average Number of Direct Labor

question 32

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Conversion Factors for the Cumulative Average Number of Direct Labor Hours per Unit
80% Learning Rate  ( n= cumulative production)  nnn11.00000190.53718370.4397620.90000200.52425380.4363430.83403210.51715390.4330440.78553220.51045400.4298450.74755230.50410640.3738260.71657240.498081280.3026970.69056250.492342560.2440580.66824260.486885120.1962290.64876270.481676000.18661100.63154280.476687000.17771110.61613290.471918000.17034120.60224300.467339000.16408130.58960310.462931,0000.15867140.57802320.458711,2000.14972150.56737330.464641,4000.14254160.55751340.450721,6000.13660170.54834350.446941,8000.13155180.53979360.443292,0000.1272090% Learning Rate  ( n= cumulative production)  nnn11.00000190.73545370.6709120.95000200.73039380.6683930.91540210.72559390.6659540.88905220.72102400.6635750.86784230.71666640.6204360.85013240.712511280.5606970.83496250.708532560.5058680.82172260.704725120.4559490.80998270.701066000.44519100.79945280.697547000.43496110.78991290.694168000.42629120.78120300.690909000.41878130.77320310.687751,0000.41217140.76580320.674711,2000.40097150.75891330.681771,4000.39173160.75249340.678931,6000.38390170.74646350.676171,8000.37711180.74080360.673502,0000.37114\begin{array}{c}\begin{array}{c}80 \% \text { Learning Rate }\\\text { ( } n=\text { cumulative production) }\\\begin{array}{rrrrrr}\hline n & & n & & {n} & \\\hline 1 & 1.00000 & 19 & 0.53718 & 37 & 0.43976 \\2 & 0.90000 & 20 & 0.52425 & 38 & 0.43634 \\3 & 0.83403 & 21 & 0.51715 & 39 & 0.43304 \\4 & 0.78553 & 22 & 0.51045 & 40 & 0.42984 \\5 & 0.74755 & 23 & 0.50410 & 64 & 0.37382 \\6 & 0.71657 & 24 & 0.49808 & 128 & 0.30269 \\7 & 0.69056 & 25 & 0.49234 & 256 & 0.24405 \\8 & 0.66824 & 26 & 0.48688 & 512 & 0.19622 \\9 & 0.64876 & 27 & 0.48167 & 600 & 0.18661 \\10 & 0.63154 & 28 & 0.47668 & 700 & 0.17771 \\11 & 0.61613 & 29 & 0.47191 & 800 & 0.17034 \\12 & 0.60224 & 30 & 0.46733 & 900 & 0.16408 \\13 & 0.58960 & 31 & 0.46293 & 1,000 & 0.15867 \\14 & 0.57802 & 32 & 0.45871 & 1,200 & 0.14972 \\15 & 0.56737 & 33 & 0.46464 & 1,400 & 0.14254 \\16 & 0.55751 & 34 & 0.45072 & 1,600 & 0.13660 \\17 & 0.54834 & 35 & 0.44694 & 1,800 & 0.13155\\18& 0.53979 & 36 & 0.44329 & 2,000 & 0.12720\end{array}\end{array}\begin{array}{cl}90 \% \text { Learning Rate }\\\text { ( } n=\text { cumulative production) }\\\begin{array}{rrrrrr}\hline n &&{n} & &n & \\\hline 1 & 1.00000 & 19 & 0.73545 & 37 & 0.67091 \\2 & 0.95000 & 20 & 0.73039 & 38 & 0.66839 \\3 & 0.91540 & 21 & 0.72559 & 39 & 0.66595 \\4 & 0.88905 & 22 & 0.72102 & 40 & 0.66357 \\5 & 0.86784 & 23 & 0.71666 & 64 & 0.62043 \\6 & 0.85013 & 24 & 0.71251 & 128 & 0.56069 \\7 & 0.83496 & 25 & 0.70853 & 256 & 0.50586 \\8 & 0.82172 & 26 & 0.70472 & 512 & 0.45594 \\9 & 0.80998 & 27 & 0.70106 & 600 & 0.44519 \\10 & 0.79945 & 28 & 0.69754 & 700 & 0.43496 \\11 & 0.78991 & 29 & 0.69416 & 800 & 0.42629 \\12 & 0.78120 & 30 & 0.69090 & 900 & 0.41878 \\13 & 0.77320 & 31 & 0.68775 & 1,000 & 0.41217 \\14 & 0.76580 & 32 & 0.67471 & 1,200 & 0.40097 \\15 & 0.75891 & 33 & 0.68177 & 1,400 & 0.39173 \\16 & 0.75249 & 34 & 0.67893 & 1,600 & 0.38390 \\17 & 0.74646 & 35 & 0.67617 & 1,800 & 0.37711 \\18 & 0.74080 & 36 & 0.67350 & 2,000 & 0.37114\end{array}\end{array}\end{array}

-The fifth unit of a long production run was produced in 15 hours.The process has an estimated learning rate of 90 percent.What is the lowest level of output at which the average production time per unit falls below 15 hours? Refer to the copy of Table G.1 above.


Definitions:

Success Feeling

The sense of achievement and positive emotion experienced when accomplishing personal or professional goals.

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The unease or anxiety about being judged, disapproved of, or negatively evaluated by others.

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The process of attempting to explain or justify behavior or an attitude with logical reasons, even if these are not appropriate.

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Not making the most effective or efficient use of a resource, person, or capability.

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