Table Q4 shows information for systems A and B. By using the information provided determine: Table Q4 Information on System A & B System A X¡ unit per day Output Dollar spent $ spent for day Y per unit K¡ per day Zi per day Other cost System B Output Expenditure S spent for day Other cost X2 unit per day Y2 per unit K2 per day Z2 per day a. Assuming that system A is stable, determine the following: i. The 100% output of system A, if the output per maximum is noted to be at 60%. ii. The unit of output considering losses, if the output of system A is 30% higher than the one given in Table above and the output per unit effective capacity is 0.65. iii. From (i), determine the new quantity (unit) of the output to reach an additional 20% increment in unit per maximum for system A. iv. The quantity (unit) of the output for A that should be able to be collected if the efficiency is 80%, the unit of the output is the same as (ii).

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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Table Q4 shows information for systems A and B. By using the information provided
determine:
Table Q4 Information on System A & B
System A
X¡ unit per day
Output
Dollar spent
$ spent for day
Y per unit
K¡ per day
Zi per day
Other cost
System B
Output
Expenditure
S spent for day
Other cost
X2 unit per day
Y2 per unit
K2 per day
Z2 per day
a. Assuming that system A is stable, determine the following:
i. The 100% output of system A, if the output per maximum is noted to be at 60%.
ii. The unit of output considering losses, if the output of system A is 30% higher than
the one given in Table above and the output per unit effective capacity is 0.65.
iii.
From (i), determine the new quantity (unit) of the output to reach an additional 20%
increment in unit per maximum for system A.
iv.
The quantity (unit) of the output for A that should be able to be collected if the
efficiency is 80%, the unit of the output is the same as (ii).
Transcribed Image Text:Table Q4 shows information for systems A and B. By using the information provided determine: Table Q4 Information on System A & B System A X¡ unit per day Output Dollar spent $ spent for day Y per unit K¡ per day Zi per day Other cost System B Output Expenditure S spent for day Other cost X2 unit per day Y2 per unit K2 per day Z2 per day a. Assuming that system A is stable, determine the following: i. The 100% output of system A, if the output per maximum is noted to be at 60%. ii. The unit of output considering losses, if the output of system A is 30% higher than the one given in Table above and the output per unit effective capacity is 0.65. iii. From (i), determine the new quantity (unit) of the output to reach an additional 20% increment in unit per maximum for system A. iv. The quantity (unit) of the output for A that should be able to be collected if the efficiency is 80%, the unit of the output is the same as (ii).
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Given - 

System A-

Output = X1 Unit per day  Dollar spent = Y1 per unit  $spent for day = K1 per day  Other cost = Z1 per day

System B-

Output = X2 unit per day  Expenditure = Y2 per unit  $spent for day = K2 per day  Other cost = Z2 per day

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