Exam 22: Learning Curves

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Use the Total time column of the 85% section of Table E.3 in the text. The first four turbochargers require 900 ∗ 3.345 = 3,010 hours. The first 10 turbochargers require 900 ∗ 7.116 = 6,404 hours. From this answer, deduce that units 5 through 10 take 6,404 - 3,010 = 3,394 hours. The 20 employees contribute 3200 hours per month. Therefore, overtime is not needed in the first month but is needed in the second. Overtime is also needed in months 3 and 4, but not in month 5. The table below contains calculation details.
$$\begin{array} { | c | c | c | c | c | c | } \hline \text { Month } & \begin{array} { c } \text { Number of } \\\text { Turbochargers }\end{array} & \begin{array} { c } \text { Cumulative } \\\text { Turbochargers }\end{array} & \begin{array} { c } \text { Total Time } \\\text { Factor From } \\\text { Table E.3 }\end{array} & \begin{array} { c } \text { Cumulative } \\\text { hours }\end{array} & \begin{array} { c } \text { Hours } \\\text { this } \\\text { month }\end{array} \\\hline 1 & 4 & 4 & 3.345 & 3,010 & 3,010 \\\hline 2 & 6 & 10 & 7.116 & 6,404 & 3,394 \\\hline 3 & 7 & 17 & 10.898 & 9,808 & 3,404 \\\hline 4 & 8 & 25 & 14.801 & 13,321 & 3,513 \\\hline 5 & 5 & 30 & 17.091 & 15,382 & 2,061 \\\hline\end{array}$$