feasible region


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Step 2:
Shade the intersection of all the half planes which is the feasible region..
Which of the following is the graph of a linear system of constraints..
Which of the following is the graph of a linear system of constraints? => The linear graph or The linear region or The feasible region or The constraint region..
Corner Point Method
The optimal solution to a LPP, if it exists, occurs at the corners of the feasible region. The method includes the following st..
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 ..
Example:
Find the optimal solution in the above problem of decorative item dealer whose objective function is Z = 50x + 18y. In the graph, the corners of the feasible region are O (0, 0), A (0, 80), B(20, 60), C(50, 0) At (0, 0) Z = 0 At (0, 80) Z = 50 (0) + 18(80) = Rs. 1440 At (20, 6..
Solving LPP Graphical Method
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 func..
Graphical Method of Solution of a Linear Programming Problem
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 steps. a) The determination of the solution space that d..
Suggested answer:
since x 0, y 0, consider only the first quadrant of the plane graph the following straight lines on a graph paper 10x + 5y = 80 or 2x+y =16 6x + 6y = 66 or x+y =11 4x+ 8y = 24 or x+ 2y = 6 5x + 6y = 90 Identify all the half planes of the constraints. The intersection of all these half planes is th..
Basic Concept of Linear Programming Problem
1 , x 2 , x 3 ,.,x n which satisfy all the constraints and also the non-negativity conditions is called the feasible solution of the LPP. Optimal Solution: The feasible solution, which optimises (i.e., maximizes or minimizes as the case may be) the objective function i..
Satellite Communication
It is mainly done through geostationary satellites. These satellites are fitted with special devices. These devices can receive signals from an Earth station and transmit them again in different directions. These special devices are called transponders. A TV transmitter on an Earth station transmit..
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