Consider the following linear program, which maximizes profit for two products: regular (R) and super (S): MAX 5R + 75S s.t. 1.2 R+ 1.6 S s-600 0.8 R+0.5 S≤ 300 0.16 R+0.4 S ≤ 100 inspection (hours) R.S >= 0 See the sensitivity report provided below: Variable Cells Cell SC528 Regular-R SCS29 Super-5 Constraints assembly (hours) paint (hours) Cell SFS6 assembly (hours) SFS7 paint (hours) SFS8 Inspection (hours) 10.8 Name 120 Name Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease S 25 18-30 75 1E-30 62.5 0 250 None of the above 400 125 100 -25 Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 12.5 It is "infinity", so there is no lower limit. 0 0 0 187.5 The lower limit of the super product (S) objective function coefficient (profit of S) is Please choose the option that best fit the empty space above. 600 300 100 1E+30 18-30 50 200 175 100

Practical Management Science
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Author:WINSTON, Wayne L.
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Consider the following linear program, 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
SC$28 Regular-R
SCS29 Super-S
Constraints
Cell
SFS6 assembly (hours)
SFS7 paint (hours)
SFS8 Inspection (hours)
10.8
Name
120
Name
12.5
Final Reduced Objective Allowable Allowable
Value Cost Coefficient Increase Decrease
0-25
1E+30
62.5
250
None of the above
400
125
100
0
Final Shadow Constraint Allowable Allowable
Value Price R.H. Side Increase Decrease
It is "infinity", so there is no lower limit.
The lower limit of the super product (S) objective function coefficient
(profit of S) is
Please choose the option that best fit the empty space above.
5
25
75 1E+30
0
0
187.5
600 1E+30
300
1E+30
100
50
200
175
100
Transcribed Image Text:Consider the following linear program, 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 SC$28 Regular-R SCS29 Super-S Constraints Cell SFS6 assembly (hours) SFS7 paint (hours) SFS8 Inspection (hours) 10.8 Name 120 Name 12.5 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 0-25 1E+30 62.5 250 None of the above 400 125 100 0 Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease It is "infinity", so there is no lower limit. The lower limit of the super product (S) objective function coefficient (profit of S) is Please choose the option that best fit the empty space above. 5 25 75 1E+30 0 0 187.5 600 1E+30 300 1E+30 100 50 200 175 100
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