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
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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
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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