Conversion Factors for the Cumulative Average Number of Direct Labor

question 7

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}$

-Given that the third unit took 100 minutes and the rate of learning is 80 percent,how much time will it take to build unit 96? Refer to the copy of Table G.1 above.

• A) Fewer than or equal to 30 minutes
• B) Greater than 30 minutes but fewer than or equal to 35 minutes
• C) Greater than 35 minutes but fewer than or equal to 40 minutes
• D) Greater than 40 minutes

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Definitions:

Double-Declining-Balance Method

A method of accelerated depreciation where an asset's book value is reduced at double the rate of its straight-line depreciation.

MACRS

Stands for Modified Accelerated Cost Recovery System, which is a method of depreciation used for tax purposes in the United States that allows for faster depreciation of assets.

Capital Expenditure

Capital utilized by a firm for the procurement or refurbishment of solid assets including real estate, production plants, or hardware.

Plant Assets

Long-term tangible assets that are used in the production of goods and services, such as machinery, buildings, and equipment.