Refer to the table below. Assume that the company involved now finds that the learning rate is 71 percent. The 71 percent learning rate coefficient is −0.494109; that is b = −0.494109 in the formula Y = aXb.   Required: Using the formula, Y = aXb, compute the labor time and costs for 5, 6, and 7 units. (Round your intermediate calculations (except for coefficient) and final answers to 2 decimal places.)   Unit Produced (X) Labor Time Required to Produce the Xth Unit (i.e., the last single unit produced)1 (Y) Cumulative Total Time in Labor- Hours(2) Total Cost(3) Average Cost per Unit(4) 1 100.00 100.00 $5,000.00 $5,000.00 2 71.00 171.00 8,550.00 4,275.00 3 58.11 229.11 11,455.49 3,818.50 4 50.41 279.52 13,975.99 3,494.00 5         6         7         8 35.79 439.95 21,997.43 2,749.68

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 10E
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Refer to the table below. Assume that the company involved now finds that the learning rate is 71 percent. The 71 percent learning rate coefficient is −0.494109; that is b = −0.494109 in the formula Y = aXb.

 

Required:

Using the formula, Y = aXb, compute the labor time and costs for 5, 6, and 7 units. (Round your intermediate calculations (except for coefficient) and final answers to 2 decimal places.)

 

Unit Produced (X) Labor Time Required to Produce the Xth Unit (i.e., the last single unit produced)1 (Y) Cumulative Total Time in Labor- Hours(2) Total Cost(3) Average Cost per Unit(4)
1 100.00 100.00 $5,000.00 $5,000.00
2 71.00 171.00 8,550.00 4,275.00
3 58.11 229.11 11,455.49 3,818.50
4 50.41 279.52 13,975.99 3,494.00
5        
6        
7        
8 35.79 439.95 21,997.43 2,749.68
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