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The linear inequalities or equations or restrictions on the variables of a linear programming problem are called …… The conditions x ≥ 0 , y ≥ 0 are called …….
- a)Objective functions, optimal value
- b)Constraints, non-negative restrictions
- c)Objective functions, non-negative restrictions
- d)Constraints, negative restrictions
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The linear inequalities or equations or restrictions on the variables ...
Understanding Linear Programming Terms
Linear programming is a mathematical method used to maximize or minimize a linear objective function, subject to a set of linear inequalities or equations. In this context, it’s essential to differentiate between various components of the problem.
What are Constraints?
- Constraints are the linear inequalities or equations that limit the values of the variables in a linear programming problem.
- They define the feasible region, representing all possible solutions that satisfy these restrictions.
- For example, if we have constraints like x + y ≤ 10, this means that the sum of x and y cannot exceed 10.
What are Non-Negative Restrictions?
- The conditions x ≥ 0 and y ≥ 0 are referred to as non-negative restrictions.
- These ensure that the values of the variables are not negative, which is crucial in many real-world scenarios, such as production quantities or resource allocations.
- Non-negativity is integral to ensuring realistic and practical solutions in linear programming problems.
Why Option B is Correct?
- The correct answer is option 'B' because it appropriately labels the linear inequalities as "constraints" and the conditions x ≥ 0, y ≥ 0 as "non-negative restrictions."
- This terminology aligns with standard definitions in linear programming, making it crucial for understanding the problem structure and finding optimal solutions.
In summary, recognizing the terminology in linear programming helps clarify the problem and guides the approach to finding feasible and optimal solutions.
Linear programming is a mathematical method used to maximize or minimize a linear objective function, subject to a set of linear inequalities or equations. In this context, it’s essential to differentiate between various components of the problem.
What are Constraints?
- Constraints are the linear inequalities or equations that limit the values of the variables in a linear programming problem.
- They define the feasible region, representing all possible solutions that satisfy these restrictions.
- For example, if we have constraints like x + y ≤ 10, this means that the sum of x and y cannot exceed 10.
What are Non-Negative Restrictions?
- The conditions x ≥ 0 and y ≥ 0 are referred to as non-negative restrictions.
- These ensure that the values of the variables are not negative, which is crucial in many real-world scenarios, such as production quantities or resource allocations.
- Non-negativity is integral to ensuring realistic and practical solutions in linear programming problems.
Why Option B is Correct?
- The correct answer is option 'B' because it appropriately labels the linear inequalities as "constraints" and the conditions x ≥ 0, y ≥ 0 as "non-negative restrictions."
- This terminology aligns with standard definitions in linear programming, making it crucial for understanding the problem structure and finding optimal solutions.
In summary, recognizing the terminology in linear programming helps clarify the problem and guides the approach to finding feasible and optimal solutions.
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The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer?.
The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The linear inequalities or equations or restrictions on the variables of a linear programming problem are called The conditions x 0 , y 0 are called .a)Objective functions, optimal valueb)Constraints, non-negative restrictionsc)Objective functions, non-negative restrictionsd)Constraints, negative restrictionsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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