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A linear programming problem is one that is concerned with
- a)finding the upper limits of a linear function of several variables
- b)finding the lower limit of a linear function of several variables
- c)finding the limiting values of a linear function of several variables
- d)finding the optimal value (maximum or minimum) of a linear function of several variables
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A linear programming problem is one that is concerned witha)finding th...
A linear programming problem is one that is concerned with finding the optimal value (maximum or minimum) of a linear function of several variables .
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A linear programming problem is one that is concerned witha)finding th...
Linear Programming Problem Explanation:
Linear programming problems involve finding the optimal value (maximum or minimum) of a linear function of several variables subject to a set of constraints. Here is a detailed explanation of why the correct answer is option 'D':
Objective Function:
- In linear programming, the objective is to either maximize or minimize a linear function. This function is typically referred to as the objective function and is represented by a linear equation.
Constraints:
- In addition to the objective function, linear programming problems also involve constraints that limit the values the variables can take. These constraints are linear inequalities that the variables must satisfy.
Optimal Value:
- The goal of solving a linear programming problem is to find the values of the variables that optimize the objective function while still satisfying all the constraints. This optimal value is the maximum or minimum value that the objective function can take under the given constraints.
Example:
- For example, consider a company trying to maximize its profit by producing and selling two types of products. The company's profit can be represented as a linear function of the quantities of each product produced and sold. The company also faces constraints such as limited resources and market demand. By formulating this problem as a linear programming problem, the company can determine the optimal production quantities that will maximize their profit.
Therefore, a linear programming problem is concerned with finding the optimal value (maximum or minimum) of a linear function of several variables subject to a set of linear constraints.
Linear programming problems involve finding the optimal value (maximum or minimum) of a linear function of several variables subject to a set of constraints. Here is a detailed explanation of why the correct answer is option 'D':
Objective Function:
- In linear programming, the objective is to either maximize or minimize a linear function. This function is typically referred to as the objective function and is represented by a linear equation.
Constraints:
- In addition to the objective function, linear programming problems also involve constraints that limit the values the variables can take. These constraints are linear inequalities that the variables must satisfy.
Optimal Value:
- The goal of solving a linear programming problem is to find the values of the variables that optimize the objective function while still satisfying all the constraints. This optimal value is the maximum or minimum value that the objective function can take under the given constraints.
Example:
- For example, consider a company trying to maximize its profit by producing and selling two types of products. The company's profit can be represented as a linear function of the quantities of each product produced and sold. The company also faces constraints such as limited resources and market demand. By formulating this problem as a linear programming problem, the company can determine the optimal production quantities that will maximize their profit.
Therefore, a linear programming problem is concerned with finding the optimal value (maximum or minimum) of a linear function of several variables subject to a set of linear constraints.
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Question Description
A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. 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 A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer?.
A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. 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 A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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ample number of questions to practice A linear programming problem is one that is concerned witha)finding the upper limits of a linear function of several variablesb)finding the lower limit of a linear function of several variablesc)finding the limiting values of a linear function of several variablesd)finding the optimal value (maximum or minimum) of a linear function of several variablesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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