George Kyparisis makes bowling balls in his Miami plant. With recent increases in his​ costs, he has a newfound interest in efficiency. George is interested in determining the productivity of his organization. He would like to know if his organization is maintaining the manufacturing average of a​ 3% increase in productivity. He has the following data representing a month from last year and an equivalent month this​ year:                                                                                                             Last Year Now Cost Per Input Unit Units Produced       1 comma 0001,000 1 comma 0001,000   Labor​ (hours) 300300 275275 ​$1010 per hour Resin​ (pounds) 5050 4545 ​$66 per pound Capital Invested​ ($) 10 comma 00010,000 11 comma 00011,000 22​% per month Energy​ (BTU) 3 comma 0003,000 2 comma 8502,850 ​$0.600.60 per BTU The percent change in productivity for one month last year versus one month this year on a multifactor basis with dollars as the common denominator​ = nothing​% ​(enter your response as a percentage rounded to two decimal​ places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 41P
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George Kyparisis makes bowling balls in his Miami plant. With recent increases in his​ costs, he has a newfound interest in efficiency. George is interested in determining the productivity of his organization. He would like to know if his organization is maintaining the manufacturing average of a​ 3% increase in productivity. He has the following data representing a month from last year and an equivalent month this​ year:
                                                                                                         
 
Last Year
Now
Cost Per Input Unit
Units Produced      
1 comma 0001,000
1 comma 0001,000
 
Labor​ (hours)
300300
275275
​$1010
per hour
Resin​ (pounds)
5050
4545
​$66
per pound
Capital Invested​ ($)
10 comma 00010,000
11 comma 00011,000
22​%
per month
Energy​ (BTU)
3 comma 0003,000
2 comma 8502,850
​$0.600.60
per BTU
The percent change in productivity for one month last year versus one month this year on a multifactor basis with dollars as the common denominator​ =
nothing​%
​(enter your response as a percentage rounded to two decimal​ places).
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