Answered: Cumulative Number Number of Hours…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 25A

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Question

A start-up firm has kept careful records of the time required to manufacture its product, a shutoff valve used in gasoline pipelines.
a. Compute the logarithms of the numbers in each column. (Use natural logs.)
b. Graph the ln(hours) against the ln(cumulative units) and eyeball a straight-line fit of the data. Using your approximate fit, estimate a and b.
c. Using the results of part (b), estimate the time required to produce the first unit and the appropriate percentage learning curve that fits these data.
d. Repeat parts (b) and (c), but use an exact least squares fit of the logarithms computed in part (a).

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
10,000
0.5
0.2

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