Conversion Factors for the Cumulative Average Number of Direct Labor

question 6

Multiple Choice

Conversion Factors for the Cumulative Average Number of Direct Labor Hours per Unit
$\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}$

-Suppose the average time for the first 1,000 units you have manufactured is 2.375 minutes.Your rate of learning is 90 percent,and you need to find the total time required to manufacture the next 1,000 units.Refer to the copy of Table G.1 above.The total time is:

• A) not more than 2,000 minutes.
• B) greater than 2,000 minutes but not more than 2,700 minutes.
• C) greater than 2,700 minutes but not more than 3,300 minutes.
• D) greater than 3,300 minutes.

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