Method of Solving Linear Programming Problems
Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..
Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..Methods to Solve Simultaneous Equations
Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = ..
Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, y = ..Graphical Method of Solution of a Linear Programming Problem
So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective function Z, then we say that these values of x ..
Substitution Method
Solve the Systems of linear equations by Method of Substitution: 2x - 9y = 0 (i) x - 18y = 27 (ii..
Personnel Assignment Problem
If we are given the number of persons, number of jobs and the expected productivity of a particular person on a particular job, linear programming is used to maximise the average productivity of a perso..
Method of Elimination (by Addition)
Solve the Systems of linear equations by Method of Elimination (by Addition): 3x - 4y = 20 (i) 5x + 6y = 8 (ii..
Consistency of a system of linear equation
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by..
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by..LPP - Linear programming problem Conclusion
Conclusion - The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex me..
Linear Combination of Atomic Orbitals (LCAO) Method
According to LCAO method, the orbitals are formed by the linear combination (addition or subtraction) of atomic orbitals of the atoms, which form the molecule. This theory is applicable to hydrogen molecule as follows. Consider that hydrogen molecule consists of two atoms A and ..
Solving linear equations
The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equation.The process of finding the value of the unknown quantity for which the equation is true, is called ..
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