Feasible Solution
A set of values of the variables x 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 LP..
Free energy change for predicting feasibility of a reaction
It has already been seen that the total entropy change, D S t o t a l determines the spontaneity of a process. The total entropy change during a process is given by D S t o t a l = D S s y s t e m + D S s u r r o u n d i n g s .(2) If the reaction is carried out at c..
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..
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 feasible region or the constraint region or the linear graph or the linear 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..
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..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..
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 =.. Result
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