Brown's, a local​ bakery, is worried about increased costs particularly energy. Last​ year's records can provide a fairly good estimate of the parameters for this year. Wende​ Brown, the​ owner, does not believe things have changed​ much, but she did invest an additional ​$2,500 for modifications to the​ bakery's ovens to make them more energy efficient. The modifications were supposed to make the ovens at least 20​%  more efficient. Brown has asked you to check the energy savings of the new ovens and also to look over other measures of the​ bakery's productivity to see if the modifications were beneficial. You have the following data to work​ with:                                                                                                 Last Year Now Production​ (dozen) 1,600 1,600 Labor​ (hours) 350 320 Capital Investment​ ($) 15,000 17,500 Energy​ (BTU) 3,200 2,800 Energy productivity increase​ = ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary). Based on the current​ year's production and energy​ consumption, the productivity based on​ "Energy" = ​units/btu ​(round your response to two decimal​ places)   Percentage productivity increase based on​ "Energy" ​ = enter your response here​% ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary)

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 42P
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​Brown's, a local​ bakery, is worried about increased costs particularly energy. Last​ year's records can provide a fairly good estimate of the parameters for this year. Wende​ Brown, the​ owner, does not believe things have changed​ much, but she did invest an additional ​$2,500 for modifications to the​ bakery's ovens to make them more energy efficient. The modifications were supposed to make the ovens at least 20​%  more efficient. Brown has asked you to check the energy savings of the new ovens and also to look over other measures of the​ bakery's productivity to see if the modifications were beneficial. You have the following data to work​ with:

                                                                                             
 
Last Year
Now
Production​ (dozen)
1,600
1,600
Labor​ (hours)
350
320
Capital Investment​ ($)
15,000
17,500
Energy​ (BTU)
3,200
2,800

Energy productivity increase​ = ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary).

Based on the current​ year's production and energy​ consumption, the productivity based on​ "Energy" = ​units/btu ​(round your response to two decimal​ places)

 

Percentage productivity increase based on​ "Energy" ​ = enter your response here​% ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary)

 

Based on last​ year's production and capital​ investment, the productivity based on​ "Capital Investment"​ = enter your response here ​units/dollar ​(round your response to two decimal​ places).

Based on the current​ year's production and capital​ investment, the productivity based on​ "Capital Investment"​ = enter your response here ​units/dollar ​(round your response to two decimal​ places).

Percentage productivity increase based on​ "Capital Invested"​ = enter your response here​% ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary).

Percentage productivity increase based on​ "Capital Invested"​ =
negative (enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary).
 
Based on last​ year's production and labor hours​ used, the productivity based on​ "Labor Hours"​ =
​units/labor hour ​(round your response to two decimal​ places).
 
Based on the current​ year's production and labor hours​ used, the productivity based on​ "Labor Hours"​ =
​units/labor hour ​(round your response to two decimal​ places).
 
Percentage productivity increase based on​ "Labor" = enter your response here​% ​(enter your response as a percentage rounded to two decimal places and include a minus sign if​ necessary).
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