Manufacturing time

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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Question
Manceville Air has just produced the first unit of a large industrial compressor that incorporated
new technology in the control circuits and a new internal venting system. The first unit took 112
hours of labor to manufacture. The company knows from past experience that this labor content
will decrease significantly as more units are produced. In reviewing past production data, it
appears that the company has experienced a 80% learning curve when producing similar designs.
The company is interested in estimating the total time to complete the next 7 units.
Your job as the production cost estimator is to prepare the estimate.
Refer to Table:
a) Total manufacturing time for the: First 8 units_
nearest whole number)
b) Manufacturing time for the last 7 units(i.e., units 2 thru 8) =
response to the nearest whole number)
Unit
Number (N)
Unit
Time
512
80%
Total
Time
5.346
Unit
Time
.614
hours (round your response to the
85%
Total
Time
5.936
hours (round your
Unit
Time
.729
90%
Total
Time
6.574
Transcribed Image Text:Manceville Air has just produced the first unit of a large industrial compressor that incorporated new technology in the control circuits and a new internal venting system. The first unit took 112 hours of labor to manufacture. The company knows from past experience that this labor content will decrease significantly as more units are produced. In reviewing past production data, it appears that the company has experienced a 80% learning curve when producing similar designs. The company is interested in estimating the total time to complete the next 7 units. Your job as the production cost estimator is to prepare the estimate. Refer to Table: a) Total manufacturing time for the: First 8 units_ nearest whole number) b) Manufacturing time for the last 7 units(i.e., units 2 thru 8) = response to the nearest whole number) Unit Number (N) Unit Time 512 80% Total Time 5.346 Unit Time .614 hours (round your response to the 85% Total Time 5.936 hours (round your Unit Time .729 90% Total Time 6.574
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