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In the solution of an LPP by Big-M method, number of basis in a 2-variable LPP having 3- constraint functions for < conditions="" ops:="" a.="" 2="" b.="" 3="" c.="" 4="" d.="" all="" three?="" conditions="" ops:="" a.="" 2="" b.="" 3="" c.="" 4="" d.="" all="" />
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In the solution of an LPP by Big-M method, number of basis in a 2-vari...
Solution:
Big-M method is used to solve the linear programming problem (LPP) by introducing a large positive value, M, to the objective function of the problem. This method is used when the problem involves constraints with inequality signs. In 2-variable LPP having 3-constraint functions for < conditions,="" the="" number="" of="" basis="" can="" be="" determined="" as="" />
Basis:
Basis is a set of basic variables that are used to represent the non-basic variables in terms of basic variables. In other words, the basis is a set of variables that are used to satisfy the constraints of the problem. The number of basis variables is equal to the number of constraints in the problem.
Number of Basis in 2-Variable LPP with 3-Constraint Functions for < />
In a 2-variable LPP with 3-constraint functions for < conditions,="" the="" number="" of="" basis="" variables="" is="" equal="" to="" the="" number="" of="" constraints="" in="" the="" problem.="" therefore,="" the="" number="" of="" basis="" variables="" in="" this="" case="" is="" 3.="" however,="" the="" number="" of="" basic="" feasible="" solutions="" can="" vary="" depending="" on="" the="" />
Options:
A. 2
B. 3
C. 4
D. All three
The correct option is B. 3, as the number of basis variables in a 2-variable LPP with 3-constraint functions for < condition="" is="" 3.="" option="" a="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" only="" 2="" basis="" variables,="" which="" is="" not="" true.="" option="" c="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" 4="" basis="" variables,="" which="" is="" also="" not="" true.="" option="" d="" is="" incorrect="" because="" it="" suggests="" that="" all="" three="" options="" are="" correct,="" which="" is="" not="" true.="" condition="" is="" 3.="" option="" a="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" only="" 2="" basis="" variables,="" which="" is="" not="" true.="" option="" c="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" 4="" basis="" variables,="" which="" is="" also="" not="" true.="" option="" d="" is="" incorrect="" because="" it="" suggests="" that="" all="" three="" options="" are="" correct,="" which="" is="" not="" />
Big-M method is used to solve the linear programming problem (LPP) by introducing a large positive value, M, to the objective function of the problem. This method is used when the problem involves constraints with inequality signs. In 2-variable LPP having 3-constraint functions for < conditions,="" the="" number="" of="" basis="" can="" be="" determined="" as="" />
Basis:
Basis is a set of basic variables that are used to represent the non-basic variables in terms of basic variables. In other words, the basis is a set of variables that are used to satisfy the constraints of the problem. The number of basis variables is equal to the number of constraints in the problem.
Number of Basis in 2-Variable LPP with 3-Constraint Functions for < />
In a 2-variable LPP with 3-constraint functions for < conditions,="" the="" number="" of="" basis="" variables="" is="" equal="" to="" the="" number="" of="" constraints="" in="" the="" problem.="" therefore,="" the="" number="" of="" basis="" variables="" in="" this="" case="" is="" 3.="" however,="" the="" number="" of="" basic="" feasible="" solutions="" can="" vary="" depending="" on="" the="" />
Options:
A. 2
B. 3
C. 4
D. All three
The correct option is B. 3, as the number of basis variables in a 2-variable LPP with 3-constraint functions for < condition="" is="" 3.="" option="" a="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" only="" 2="" basis="" variables,="" which="" is="" not="" true.="" option="" c="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" 4="" basis="" variables,="" which="" is="" also="" not="" true.="" option="" d="" is="" incorrect="" because="" it="" suggests="" that="" all="" three="" options="" are="" correct,="" which="" is="" not="" true.="" condition="" is="" 3.="" option="" a="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" only="" 2="" basis="" variables,="" which="" is="" not="" true.="" option="" c="" is="" incorrect="" because="" it="" suggests="" that="" there="" are="" 4="" basis="" variables,="" which="" is="" also="" not="" true.="" option="" d="" is="" incorrect="" because="" it="" suggests="" that="" all="" three="" options="" are="" correct,="" which="" is="" not="" />
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In the solution of an LPP by Big-M method, number of basis in a 2-variable LPP having 3- constraint functions for for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In the solution of an LPP by Big-M method, number of basis in a 2-variable LPP having 3- constraint functions for covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the solution of an LPP by Big-M method, number of basis in a 2-variable LPP having 3- constraint functions for .
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