RD Sharma Solutions for Class 12 Maths Chapter 30 - Linear programming - Free PDF Download
FAQs on RD Sharma Class 12 Maths Solutions Chapter 30 - Linear programming
1. What is Linear Programming ?
Linear Programming is a technique for solving problems that are constrained. The basic goal of Linear Programming is to maximize or minimize the function's numerical value. It is made up of linear functions that are constrained by constraints in the form of linear equations or linear inequalities. It is regarded as a crucial strategy for determining the best resource utilization.
2. What are the topics covered in Linear Programming ?
A Mathematical formulation of L.P.
A Mathematical formulation of L.P. Introduction, related terminology such as objective function, constraints.
Feasible and infeasible regions (bounded and unbounded)
Different types of Linear Programming (L.P.) problems.
Problems and their graphical method of solution in two variables.
Feasible and infeasible solutions.
Optimal feasible solutions for the problems (up to three non-trivial constraints)
3. What are the characteristics of Linear Programming ?
The five properties of Linear Programming are as follows:
Constraints - Constraints are restrictions or limitations on the function's decision variables. It usually sets a limit on how much the decision variables can be worth.
Problem's Objective Function - The problem's objective function should be quantified.
Linearity - The function's relationship between two or more variables must be linear.
Finiteness - The number of input and output numbers should be finite and infinite, respectively. If the function contains infinite factors, the optimal solution is impossible to achieve.
Non-Negativity — The value cannot be negative. The value of the variable can be either positive or negative.
4. What are the steps defining Linear Programming ?
The Steps to Defining a Linear Programming Problem, in General, are Listed Below.
Determine the variables that affect your decision.
Create the goal function.
Mention the limitations.
Clearly state the non-negativity constraint.
5. What are some examples of Linear Programming applications?
The following are some examples of Linear Programming applications in various domains.
Engineering - It is utilized to create and solve production challenges since it aids in shape optimization.
Companies employ linear expressions to maximize profit in efficient manufacturing.
Energy Industry - It gives ways for optimizing the industry's electric power system.
Transportation Optimisation - This is done to save money and time.
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7. What distinguishes the many types of Linear Programming ?
The various types of Linear Programming are as follows:
To address Linear Programming issues, the Simplex technique is utilized.
R is a computer language that is used to address Linear Programming problems.
Solving Linear Programming problems with a graphical way
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