ive the LP problem. If n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Maximize p =x +y subject to
x+2ys 6
Solve the LP problem. If no optim
+x3D
95h+x
+2x+
x2 0, y 2 0.
3Dd
%3D
(A^x)
Need Help?
Transcribed Image Text:Maximize p =x +y subject to x+2ys 6 Solve the LP problem. If no optim +x3D 95h+x +2x+ x2 0, y 2 0. 3Dd %3D (A^x) Need Help?
Expert Solution
Step 1

Introduction:

The following are the major steps in this method.

(i) Mathematically express the problem.

(ii) Write all of the constraints as equations and graph them.

(iii) Identify the feasible region

(iv) Determine the coordinates of each feasible region's vertex (corner point). The coordinates of the vertex can be determined by inspection or by solving the two equations of the intersecting lines at the point.

(v) The values of the objective function can be obtained by substituting these corner points in the objective function.

(vi) If the problem is maximization, the maximum of the above values is the best value. If the problem is minimization, the optimum value is the lowest of the above values.

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