D. 2064.36 hrs
Explanation:
The learning curve is usually given by
Y = aXb
Where
Y = cumulative average time per unit or batch.
a = time taken to produce the first unit; 80 hours here
X = Cumulative units of production
Learning Rate = 0.8
b = the learning coefficient, which is calculated as: log(learning rate) ÷ log 2 =
= (log(.80)/log2)
= -0.32193
Given Y26 = a(26)(log(.80)/log2) = 28.03 hrs
Similarly, Y125 = 80(125)(log(.80)/log2) = 16.91 hrs
Therefore, total time taken to produce from unit 26 through units 125 = ΣYi
Where i = 26 to 125
We can create a data table for that using the formulaes above
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