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Conversion Factors for the Cumulative Average Number of Direct Labor

Question 22

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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 seventh unit of a long production run was produced in 3 hours.The process has an estimated learning rate of 90 percent.At what level of output will the cumulative production time exceed 40 hours? Refer to the copy of Table G.1 above.


A) Fewer than or equal to 8 units
B) Greater than 8 units but fewer than or equal to 10 units
C) Greater than 10 units but fewer than or equal to 12 units
D) Greater than 12 units

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