The first unit produced in a process takes 600 hours.As the number of units produced doubles,production time decreases by 32%.Using the arithmetic approach,calculate the production time for the 16th unit.
A)132 hours
B)148 hours
C)128 hours
D)156 hours

Question

Quizplus · Accepted Answer

Using the arithmetic approach, we can find the production time for the 2nd unit as follows:

time for 2nd unit = 600 hours - 32% of 600 hours
                  = 600 hours - 192 hours
                  = 408 hours

Similarly, we can find the production time for the 4th, 8th and 16th units as follows:

time for 4th unit = 408 hours - 32% of 408 hours
                  = 277.44 hours
                  ≈ 277 hours

time for 8th unit = 277 hours - 32% of 277 hours
                  = 188.16 hours
                  ≈ 188 hours

time for 16th unit = 188 hours - 32% of 188 hours
                  = 127.68 hours
                  ≈ 128 hours

Therefore, the best choice is C, with a production time of 128 hours for the 16th unit.

The First Unit Produced in a Process Takes 600 Hours