3a) What do (optimal values for) dual variables tell us about the primal problem? 3b) If a constraint is added to a linear program with maximization objective, its optimal objective value will decrease (or stay the same). What happens to its dual optimal objective value? Please justify your answer. 3c) In Excel, what extra step is needed to turn a LP into an IP?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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3a) What do (optimal values for) dual variables tell us about the primal problem?
3b) If a constraint is added to a linear program with maximization objective, its optimal objective
value will decrease (or stay the same). What happens to its dual optimal objective value? Please
justify your answer.
3c) In Excel, what extra step is needed to turn a LP into an IP?
3d) Consider the LP relaxation of a pure binary optimization problem (i.e. all variables are binary).
Can this LP have an unbounded optimal objective value? Please justify your answer.
Transcribed Image Text:3a) What do (optimal values for) dual variables tell us about the primal problem? 3b) If a constraint is added to a linear program with maximization objective, its optimal objective value will decrease (or stay the same). What happens to its dual optimal objective value? Please justify your answer. 3c) In Excel, what extra step is needed to turn a LP into an IP? 3d) Consider the LP relaxation of a pure binary optimization problem (i.e. all variables are binary). Can this LP have an unbounded optimal objective value? Please justify your answer.
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