Recall from the lecture that the functional form for a learning curve (LC) is y = axb where y is time to produce the most recent unit and x is the cumulative production. Here, the coefficient a is the time required to produce the first unit. The exponent (b), which is negative value, represents the learning rate. Consider a production system that needs to produce its main product based on 75% learning curve. It was measured that it took 180 minutes to produce the first unit from this production system. A. How much time would it take to produce the 20th unit? Show your work. B. Suppose the 20th unit was just produced and customer placed order of 10 more units. How much time would it take to produce those 10 more units? Use definite integral method with adjusted range. Show your work. C. What is the production rate for producing 10 units in the above question (#1.B) in the dimension of [parts/hour]? Show your work.
Recall from the lecture that the functional form for a learning curve (LC) is y = axb where y is time to produce the most recent unit and x is the cumulative production. Here, the coefficient a is the time required to produce the first unit. The exponent (b), which is negative value, represents the learning rate. Consider a production system that needs to produce its main product based on 75% learning curve. It was measured that it took 180 minutes to produce the first unit from this production system.
A. How much time would it take to produce the 20th unit? Show your work.
B. Suppose the 20th unit was just produced and customer placed order of 10 more units. How much time would it take to produce those 10 more units? Use definite integral method with adjusted range. Show your work.
C. What is the production rate for producing 10 units in the above question (#1.B) in the dimension of [parts/hour]? Show your work.
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