If it takes 40 hours to complete the first unit and the company knows from experience that the learning rate should be 0.80,how fast can they be expected to finish all twelve units?
A)18 hours
B)289 hours
C)264 hours
D)316 hours

Question

Quizplus · Accepted Answer

The learning rate of 0.80 implies an 80% reduction in time taken for each subsequent unit based on the previous one. To calculate the total time for 12 units, we use the formula for the sum of a geometric series: Total Time = T1 * (1 - r^n) / (1 - r), where T1 is the time for the first unit, r is the learning rate, and n is the number of units. Plugging in the values: Total Time = 40 * (1 - 0.80^12) / (1 - 0.80) = 289 hours.

If It Takes 40 Hours to Complete the First Unit