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ml A start-up firm has kept earetl records of the time required to manufacture its product. a shutoff valve used in gasoline pipelines. Cumulative Number

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ml A start-up firm has kept earetl records of the time required to manufacture its product. a shutoff valve used in gasoline pipelines. Cumulative Number Number of Hours Required of Units Produced for Next Unit 50 3 3 100 2 2 400 1.0 600 0 8 1.000 0.5 10,000 0.2 .9. Compute the logarithms of the numbers in each column. (Use natural logs.) h. Graph the ln( hours) against the Int cumulative units) and eyeball a straight-line t of the data. Using your approximate f it. estimate a and b. c. Using the results of part ((7), estimate the time required to produce the rst unit and the appropriate percentage learning curve that fits these data. :1. Repeat parts (b) and (r). but use an exact least squares fit of the logarithms computed in part (a)

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