In Problems 13-20, (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 11 x 1 + 4 x 2 subject to 2 x 1 + x 2 ≥ 8 − 2 x 1 + 3 x 2 ≥ 4 x 1 , x 2 ≥ 0
In Problems 13-20, (A) Form the dual problem. (B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 11 x 1 + 4 x 2 subject to 2 x 1 + x 2 ≥ 8 − 2 x 1 + 3 x 2 ≥ 4 x 1 , x 2 ≥ 0
Solution Summary: The author explains how to determine the dual of the minimization problem by using the coefficients in the problem constraints and the objective function.
In this problem we want to understand how the simplex method deals with an LP problem having
an infinite number of solutions.
Solve: Maximize z = 2x1 + 4x2 subject to x1 + 2x2 0.
Consider the following problem:
Maximize Z= 2x1 - x2 + X3,
subject to
x2 + 3x3 0, X3 2 0.
Work through the simplex method step by step in tabular form to solve the problem. Please
show your tabular form in each iteration and show your optimal solution.
Solve the following problem by using the Simplex approach:
Maximize Z = 4X1 – 6X2
Subject to:
3X1 + 2X2 > 6
2X1 + X2 < 2
3X1 – 2X2 < 4
all variables > 0
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY