It took a contractor 1285 hours to manufacture their first u

It took a contractor 1285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 94% unit learning curve, how many hours would be required to manufacture units 52-100?

A) 50,475
B) 42,851
C) 41,948

D) 44,398

Can you please show the work.   Thank you!

Solution

Answer to the question)

Learnign curve equation is = a* X^b

Where a = 1285

b = log(0.94) / log(2)

b = -0.02687 / 0.301

b = -0.08927

.

We got X1 = 52

X2 = 100

Y = (1285 *(100)^-0.08927) - (1285 * (52)^-0.08927)

Y = 50475