big m method to solve lpp

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 obje..

The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision variable. subject to the constraints..

Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following method..

The graphical method is applicable to solve the LPP involving two decision variables x 1 , and x 2 , we usually take these decision variables as x, y instead of x 1 , x 2 . To solve an LPP , the graphical method includes two major st..

Choose the easiest method to solve the linear system. 5 x + 2 y = 16 x - 4 y = - 10 => substitution method or linear combination method..

Solve the linear system by using the substitution method and find the number of solutions. 4 x + y = -6 5 x - 6 y = -22 => Exactly one solution or No solution or Infinitely many solutions or None of the above..

Using the graph-and-check method, solve the linear system 4 y = x - 12 and y + x = 2. => (4, -2) or (-4, 2) or (4, 2) or (2, 4)..

Use the elimination method to solve the linear system. 6 x + 5 y = 49 5 y = 41 - 4 x => (4, 5) or (- 4, - 5) or (- 4, 5) or (4, - 5)..

Use graph-and-check method to solve the linear system. 4 y = x - 12 y + x = 2 => (4, - 2) or No solution or (2, - 3) or (2, 4)..

Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system. 4 x + 7 y = 1 [Equation 1] x - 3 y = - 2 [Equation 2] => Equation 1 or Equation 2 or Both Equation 1 and Equation 2 or Neither Equation 1 nor Equ..