1) It took a contractor 1285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 92% unit learning curve, how many hours would be required to manufacture units 51-100? (Use the tables provided in the lesson).
290,475
37,488
284,398
38,289
2) The idea of “learning” assumes that given the right conditions that the time or cost of performing repetitive actions changes in a regular pattern. The unit formulation suggests that:
Each doubling in quantity will result in a reduction in the unit cost by the same percentage.
Each repetition (or unit produced) will cost less than the prior repetition (or unit produced) by the same amount.
Each doubling in quantity will result in a reduction in the unit cost by the same amount.
Each repetition (or unit produced) will cost more than the prior repetition (or unit produced) by the same amount.
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) It took a contractor 1285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 92% unit learning curve, how many hours would be required to manufacture units 51-100? (Use the tables provided in the lesson).
290,475
37,488
284,398
38,289
It took a contractor 1285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 92% unit learning curve, how many hours would be required to manufacture units 51-100? (Use the tables provided in the lesson).
Each doubling in quantity will result in a reduction in the unit cost by the same percentage.
1) To answer this question, we need to use the concept of a unit learning curve. A unit learning curve suggests that as more units are produced, the time or cost of producing each unit decreases in a regular pattern.
In this case, the contractor expects a 92% unit learning curve. This means that with each doubling of the units produced, there will be a 92% reduction in the time or cost per unit.
To find the number of hours required to manufacture units 51-100, we can use the following formula:
H = H₁ * (N/N₁)^log(1/L)
Where:
- H is the number of hours to produce the nth unit (in this case, the 100th unit)
- H₁ is the number of hours to produce the first unit (given as 1285 hours)
- N is the number of the unit we want to find the hours for (in this case, 100)
- N₁ is the number of the first unit (given as 1)
- L is the learning curve percentage (in this case, 92%)
Let's calculate the number of hours required to manufacture units 51-100:
H = 1285 * (100/1)^log(1/0.92)
H ≈ 284,398
Therefore, the correct answer is 284,398 hours (option C).
2) The unit formulation suggests that each doubling in quantity will result in a reduction in the unit cost by the same percentage. Thus, option A is the correct answer. This means that as more units are produced, the unit cost will decrease by the same percentage each time.