Top Posters
Since Sunday
5
o
5
4
m
4
b
4
x
4
a
4
l
4
t
4
S
4
m
3
s
3
A free membership is required to access uploaded content. Login or Register.

Simplex Method to Solving Maximization Problems

Uploaded: 5 years ago
Contributor: bio_man
Category: Math
Type: Lecture Notes
Rating: (2)
Helpful 2 
Unhelpful
Filename:   pptx.pptx (1.51 MB)
Page Count: 47
Credit Cost: 3
Views: 139
Last Download: N/A
Transcript
4.1 Slack Variables and the Pivot 4.2 The Simplex Method: Solving Standard Maximization Problems The simplex method starts with the selection of one corner point from the feasible region. Systematically, another corner point is found that tries to improve the value of the objective function. Ultimately, an optimum solution is reached, or it is seen that no such solution exists. The understanding behind the simplex method is this: In any linear programming problem, there is a feasible region. If there are only two unknowns, we can draw the region and solve graphically as previously seen; if there are three unknowns, it is a solid region in space; and if there are four or more unknowns, it is an abstract higher-dimensional region. However, it is a faceted region with corners, and it is at one of these corners that we will find the optimal solution. It is with this unknowns of 3 or more variables that we see the benefit of the simplex method. A linear programming problem is in standard maximum form if the following conditions are satisfied: 1. The objective function is to be maximized. 2. All variables are nonnegative (

Related Downloads
Explore
Post your homework questions and get free online help from our incredible volunteers
  951 People Browsing
Your Opinion
Who's your favorite biologist?
Votes: 585