Step 1:
Find the feasible region of the LL..
The graph of the linear system of constraints is called ______.
The graph of the linear system of constraints is called ______. => The constraint region or The feasible region or The linear region or The linear graph..
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 feasible region or the constraint region or the linear graph or the linear region..
Step 2:
Find the co-ordinates of each vertex of the feasible region. These co-ordinates can be obtained from the graph or by solving the equation of the line..
Non-convex Sets
We know that the feasible solution of an LPP is a set. This set (If it is finite non-empty) is convex for any L.P.P. There are four types of feasible region normally we g..
We know that the feasible solution of an LPP is a set. This set (If it is finite non-empty) is convex for any L.P.P. There are four types of feasible region normally we g..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 i are the optimal so..
Step 3:
Corresponding to each constant, we obtain a shaded region. The intersection of all these shaded regions is the feasible region or feasible solution of the LPP. Let us find the feasible solution for the problem of a decorative item dealer..
Corresponding to each constant, we obtain a shaded region. The intersection of all these shaded regions is the feasible region or feasible solution of the LPP. Let us find the feasible solution for the problem of a decorative item dealer..Suggested answer:
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1) + 1 = 7 Consider any point say (4, 5), the value of Z =..
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1) + 1 = 7 Consider any point say (4, 5), the value of Z =..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 a..
+ 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 a..Suggested answer:
Draw the graphs x + y = 1 - 0.5 -5y = - 10 Shade the half planes of the constraints x + y 1 (1) -0.5x - 5y -10 (2) Note that the origin (0, 0) does not satisfy the inequation (2) hence the required region is the upper half plane. From the graph, it is clear that the intersection of..
Draw the graphs x + y = 1 - 0.5 -5y = - 10 Shade the half planes of the constraints x + y 1 (1) -0.5x - 5y -10 (2) Note that the origin (0, 0) does not satisfy the inequation (2) hence the required region is the upper half plane. From the graph, it is clear that the intersection of..See what our Users say :
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