I submitted this question a couple days ago.  However, I am still a little confused. Here was the original question: Collins Little Company has a staff of 4 employees, each working 8 hours per day at a rate of $20/hour. Their overhead expenses are $200/day. Collins processes and closes on 12 titles each day.  They are considering purchasing a computerized title search system that will allow the processing of 20 titles per day. With the new system, they could cut their staff to 2 employees working the same hours at the same pay, but their overhead expenses would double to $400 per day. 1. Compute the labor productivity with the old system (in titles / hour). 2. Compute the labor productivity with the new system (in titles / hour). 3. Compute the multifactor productivity with the old system (in titles / dollar). 4. Compute the multifactor productivity with the new system (in titles / dollar). One of the answers is: Labor Productivity = 12/(4*8) Another is: Labor Productivity = 12/(20*4*8)+200 My question is: How do you know when to mulitple and add?  Would you please explain how is was determined?  I hope my question makes sense..?

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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I submitted this question a couple days ago.  However, I am still a little confused.

Here was the original question:

Collins Little Company has a staff of 4 employees, each working 8 hours per day at a rate of $20/hour. Their overhead expenses are $200/day. Collins processes and closes on 12 titles each day.  They are considering purchasing a computerized title search system that will allow the processing of 20 titles per day. With the new system, they could cut their staff to 2 employees working the same hours at the same pay, but their overhead expenses would double to $400 per day.

1. Compute the labor productivity with the old system (in titles / hour).

2. Compute the labor productivity with the new system (in titles / hour).

3. Compute the multifactor productivity with the old system (in titles / dollar).

4. Compute the multifactor productivity with the new system (in titles / dollar).

One of the answers is:

Labor Productivity = 12/(4*8)

Another is:

Labor Productivity = 12/(20*4*8)+200

My question is: How do you know when to mulitple and add?  Would you please explain how is was determined?  I hope my question makes sense..?

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ISBN:
9781337406659
Author:
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Publisher:
Cengage,