Hawkins Products,Inc. ,has found that new products follow a learning curve.The first two units have been completed with the following results: How much time will be needed to complete the 8^th unit? A)74.00 hours. B)57.80 hours. C)56.00 hours. D)49.13 hours.

Question

Quizplus · Accepted Answer

Using the formula for the learning curve:
Y = a * X^b
where Y is the time to complete a unit, X is the number of units completed, a and b are constants.
Using the given information, we have:
11 = a * 1^b
20 = a * 2^b
Solving for a and b, we get:
a = 11
b = log(20/11)/log(2) = 0.678
Using this formula for completion of the 8th unit, we get:
Y = 11 * 8^0.678 = 49.13 hours. 
Therefore, the best choice is D.