Linear Programming Problems (LPP)
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 variabl..
Linear Programming Problems (LPP)
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..
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..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 method'. The wide usage of ..
Step 4:
Identify the corner point at which the value of the objective function is maximum (or minimum depending on the LPP) The co-ordinates of this vertex is the optimal solution and the value of Z is the optimal val..
Step 2:
+ y 100. Therefore R 1 is the required region for the constraint 2x + y 100. Similarly draw the straight line x + y = 80 by joining the point (0, 80) and (80, 0). Find the required region say R 1 ', for the constraint x + y 80. The intersection of both the region R 1 and R 1 ' is the feasible solut..
+ y 100. Therefore R 1 is the required region for the constraint 2x + y 100. Similarly draw the straight line x + y = 80 by joining the point (0, 80) and (80, 0). Find the required region say R 1 ', for the constraint x + y 80. The intersection of both the region R 1 and R 1 ' is the feasible solut..Step 1
For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..
Step 4:
To maximise Z draw a line parallel to ax + by = k and farthest from the origin. This line should contain at least one point of the feasible region. Find the coordinates of this point by solving the equations of the lines on which it lies. To minimise Z draw a line parallel to ax + by = ..
Step 4:
If Mean value theorem is applicable, solve the equation Show that one of the roots lie in the open interval (a, b). This verifies the Mean Value Theore..
If Mean value theorem is applicable, solve the equation Show that one of the roots lie in the open interval (a, b). This verifies the Mean Value Theore..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 meth..
Suppose the LPP is to Optimize Z = ax + by subject to the constraints This method of optimization involves the following meth..See what our Users say :
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