# (Solved Homework): You’ve just completed a pilot run of 10 units of a major product and found the processing…

You’ve just completed a pilot run of 10 units of a major product and found the processing time for each unit was as follows: Use Exhibit 4A.5 and Exhibit 4A.6.

 UNIT NUMBER TIME (HOURS) 1 970 2 800 3 750 4 680 5 670 6 640 7 620 8 600 9 580 10 570

a. According to the pilot run, what would you estimate the learning rate to be? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)

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b. Based on (a), how much time would it take for the next 190 units, assuming no loss of learning? (Round your answer to the nearest whole number.)

c. How much time would it take to make the 1,000th unit? (Round your answer to the nearest whole number.)

Learning rate is time taken for nth unit divided by time taken for (n/2)th unit

b = log(learning rate)/log 2

Time taken for nth unit, T(n) = T(1) * n ^ b

Learning rate = 85%

(b) Using the formula for T(n) , time taken for each unit has to be calculated until T(200).

Time taken for next 190 units = T(11)+ T(12)+T(13)+…T(200) = 66730

(c) Time taken for 1000th unit = 970*(1000^-0.23068) = 197

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