Construct the dual problem for this primal problem. 2. Solve both the primal problem and the dual problem graphically. Identify all the basic (corner point) solutions (feasible and infeasible) for both problems. Calculate the objective function values for all these solutions. 3. Use the information obtained in part (b) to construct a table listing the complementary basic solutions for these problems.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4BGP
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1. Construct the dual problem for this primal problem.

2. Solve both the primal problem and the dual problem graphically. Identify all the basic (corner point) solutions (feasible and infeasible) for both problems. Calculate the objective function values for all these solutions.

3. Use the information obtained in part (b) to construct a table listing the complementary basic solutions for these problems.

4. Identify a pair of primal-dual basic solutions where weak-duality holds.

5. Identify a pair of primal-dual basic solutions where strong duality holds.

6. Identify the optimal primal and dual basic solutions, and optimal objective function value.

Consider the following problem:
max z = x1+ 2x2
s.t. *1 + 3x2 < 8
X1 + x2 < 4
X1, x2 > 0.
Transcribed Image Text:Consider the following problem: max z = x1+ 2x2 s.t. *1 + 3x2 < 8 X1 + x2 < 4 X1, x2 > 0.
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