A firm has recently added a new product to their offerings. Manufacturing reports that production is going smoothly and factory workers are becoming familiar with the manufacture of this product. All expectations are that the current rate of learning will continue and the manufacture of future units will be more efficient​ (i.e. take less​ time). The following table shows the results for the first two units produced.                                                                                                                                                                                                                                                                                                                                                                                            Unit Produced Time to manufacture​ (hours) 1 600 2 510   The firm has an order for two additional units. Assuming the pattern of learning curve continues​ (same rate): a. At what rate is learning​ occurring? b. How long will it take to produce the fourth​ unit? c. If the labor rate is ​$17 per​ hour, what is the cumulative average labor cost per unit for the first four units​ produced?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A firm has recently added a new product to their offerings. Manufacturing reports that production is going smoothly and factory workers are becoming familiar with the manufacture of this product. All expectations are that the current rate of learning will continue and the manufacture of future units will be more efficient​ (i.e. take less​ time). The following table shows the results for the first two units produced.
                                                                                                                                                                                                                                                                                                                                                                                          
Unit Produced
Time to manufacture​ (hours)
1
600
2
510
 
The firm has an order for two additional units. Assuming the pattern of learning curve continues​ (same rate):
a. At what rate is learning​ occurring?
b. How long will it take to produce the fourth​ unit?
c. If the labor rate is ​$17 per​ hour, what is the cumulative average labor cost per unit for the first four units​ produced?
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