Answer
The answer and procedures of the exercise are attached in the image below.
Explanation
Please consider the data provided by the exercise. If you have any question please write me back. All the exercises are solved in a single sheet with the formulas indications.
Answer: 5,882.5 hours
Explanation:
Cumulative Labor Hours to be planned for = Cumulative factor * Time of first unit
Cumulative Factor = Average learning rate for Number of units.
Learning rate from unit 1 to 2 = Labor hours required for 2nd unit / Labor Units required for 1st unit
= 2,250/2,500
= 0.9
Learning rate from unit 2 to 3 = Labor hours required for 3rd unit / Labor Units required for 2nd unit
= 2,120/2,250
= 0.94
Average learning rate = (0.9 + 0.94) / 2
= 0.9
= 90%
There are 6 units in total including the first units checked and the additional 3 units.
Cumulative factor for 6 units at 90% from the table is 5.101.
Cumulative labor hours = 5.101 * 2,500
= 12,752.5 hours
The time for the Addiotnal 3 units is;
= Cumulative time for all units - time for the first 3 units
= 12,752.5 - 2,500 - 2,250 - 2,120
= 5,882.5 hours
