The first unit required 9800 hrs to manufacture The company expects to experience an 82 percent unit learning curve What is the estimate the cost of the 20th unit?

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1076901

2026-04-23 20:50

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To estimate the cost of the 20th unit using an 82% learning curve, we first calculate the hours for the 20th unit. The formula for the learning curve is ( Y = aX^b ), where ( Y ) is the time for the nth unit, ( a ) is the time for the first unit, ( X ) is the unit number, and ( b ) is the log of the learning curve percentage divided by the log of 2. Here, ( a = 9800 ) hours, ( b = \log(0.82) / \log(2) ). Applying this, the estimated hours for the 20th unit would be approximately 4,913 hours. To find the cost, multiply the hours by the cost per hour (if provided).

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