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Learning Curve

The management in Exercise 43 requires that a new employee be producing at least 20 units per day after 30 days on the job.
(a) Find a learning curve model that describes this minimum requirement.
(b) Find the number of days before a minimal achiever is producing 25 units per day.

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Final answer:

To model the minimum requirement of producing 20 units per day after 30 days, we can use the power-law learning curve model. Plug in the values to find the constants, and then use the model to predict the number of days to reach 25 units per day.

Step-by-step explanation:

To find a learning curve model that describes the minimum requirement of producing at least 20 units per day after 30 days, we can use the power-law learning curve model. The formula for the power-law learning curve model is:

Y = a * X^b

Where Y is the output, X is the cumulative production units, and a and b are constants. In this case, we know that after 30 days, the minimum requirement is 20 units, so we can plug in these values into the equation to solve for a and b. Once we have the values for a and b, we can use them to predict the number of days it would take for a minimal achiever to produce 25 units per day.

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