Answer:
a) 86%
b) 2nd unit = 82 hs.
3rd unit = 75 hs
c) 100th unit = 36 hs
Step-by-step explanation:
We can model the learning curve for manufacturing the units as:

where t is the time for the Xth unit, and a and b are parameters that we will calculate from the data,
We know that t(1)=95. Then, we have:

And we know that the fourth unit (X=4) take 71 hours to be completed (t(4)=71). Then, we can calculate the other parameter as:

We have the model for the learning curve:

The learning rate percentage is calculated from the b parameter:

The learning rate percentage is 86%.
b) The most likely times required for the 2nd and 3rd units are calculated with the model:

c) If we use the model to calculate the time required for the 100th unit, we have:

The area of a circle is given in terms of circumference by
.. A = C²/(4π)
Then the ratio A/C is
.. A/C = C/(4π)
Substituting the given information, we have
.. 16 cm = C/(4π)
.. C = (4π)*16 cm = 64π cm
.. C ≈ 200.96 cm
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95 = ½ (7+12)h<span>A trapezoid has an area of 95 square meters. The bases are 7 meters and 12 meters. Write an equation to determine the height of the trapezoid.</span>