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Linear Programming Problem and its Mathematical Formulation, Graphical Method - Linear Programming, Class 12, Math Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Linear Programming Problem and its Mathematical Formulation, Graphical Method - Linear Programming, Class 12, Math Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is linear programming and its mathematical formulation?
Ans. Linear programming is a mathematical method used to optimize a given objective function subject to a set of linear equality or inequality constraints. The mathematical formulation of a linear programming problem involves defining decision variables, objective function, and constraints using linear equations or inequalities.
2. What is the graphical method in linear programming?
Ans. The graphical method is a graphical representation of linear programming problems. It involves plotting the feasible region, which is the region defined by the constraints, and finding the optimal solution by locating the corner points of the feasible region and evaluating the objective function at each corner point.
3. How can linear programming be used in real-life applications?
Ans. Linear programming has various real-life applications, including production planning, resource allocation, transportation optimization, financial planning, and diet planning. It helps in making optimal decisions by considering various constraints and objectives.
4. What are the advantages of using linear programming?
Ans. Some advantages of using linear programming include: 1. It provides a systematic approach to solve complex optimization problems. 2. It helps in maximizing profits or minimizing costs by considering multiple variables and constraints. 3. It can handle a large number of decision variables and constraints efficiently. 4. It provides a visual representation of the problem through graphical methods, making it easier to understand and analyze.
5. Can linear programming handle nonlinear equations or constraints?
Ans. No, linear programming can only handle linear equations and constraints. Nonlinear equations or constraints involve variables that are raised to powers or involve trigonometric functions. If a problem includes nonlinear equations or constraints, linear programming cannot be directly applied, and other optimization techniques need to be used.
204 videos|288 docs|139 tests

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