The upper limit of the regular product (R) objective function coefficient (profit of R) is
The upper limit of the regular product (R) objective function coefficient (profit of R) is
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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
Transcribed Image Text:Consider the following linear programming problem, which maximizes profit for two products:
regular (R) and super (S):
MAX 5R + 75S
s.t.
1.2 R+ 1.6 S ≤ 600 assembly (hours)
0.8 R + 0.5 S ≤ 300
paint (hours)
0.16 R+ 0.4 S ≤ 100 inspection (hours)
R, S >= 0
See the sensitivity report provided below:
Variable Cells
Cell
$C$28 Regular-R
$C$29 Super-S
Constraints
Name
Cell
SFS6 assembly (hours)
SFS7 paint (hours)
$F$8 inspection (hours)
Name
Final Reduced Objective Allowable Allowable
Cost Coefficient Increase Decrease
Value
0
250
-25
0
400
125
100
5
25
75 1E+30
Final Shadow Constraint Allowable Allowable
Value Price R.H. Side Increase Decrease
0
0
187.5
1E+30
62.5
600 1E+30
300 1E+30
100
50
200
175
100
The upper limit of the regular product (R) objective function coefficient (profit of R) is
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