Suad Alwan, the purchasing agent for Dubai Airlines, is interested in determining what he can expect to pay for airplane number 4 if the third plane took 20,000 hours to produce. What would Alwan expect to pay for plane number 5? Number 6? Use an 85% learning curve and a $40-per-hour labor charge.

Alwan expect to pay for airplane 4= $747818.48

Explanation:

given data

expect to pay airplane =  4

3rd plane produce = 20,000 hours

learning curve = 85%

solution

As here logarithmic approach allow get labor for any unit, TN,  as

TN = T1(Nb)

here TN is time for the Nth unit  and T1 is hours to produce the first unit  

so

b  = (log of the learning rate) ÷ (log 2) = slope of the learning curve

so

T3 = T1(3log(0.85)÷log2)

so we get

So Alwan expect to pay for airplane 4 = $747818.48

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