In Class Exercise
Problem 1: Use the gauss-Jordan method to determine whether each of the following linear systems has
no solution, a unique solution, or an infinite number of solutions. Indicate the solutions (if any exist).
x1 + x2
+ x4 =
3
x2 + x3
=
4
In Class Exercise
Problem 1: Use the gauss-Jordan method to determine whether each of the following linear systems has
no solution, a unique solution, or an infinite number of solutions. Indicate the solutions (if any exist).
x1 + x2
x2 + x3
+ x4 =
3
=
4
OPIM 201 Business Processes
Week 6: Mid-term review
Koh Niak Wu
Koh Niak Wu
Slide 1
OPIM 201, SMU
OPIM 201 Business Processes
Week 1: Role of Process Management
Koh Niak Wu
Koh Niak Wu
Slide 2
OPIM 201, SMU
Littles law: Its more powerful than you think.
W
OPIM 201 Business Processes
Week 10: Toyota Production
Systems & Material Requirements
Planning
Koh Niak Wu
Koh Niak Wu
Slide 1
OPIM 201, SMU
Overview of OPIM 201
Week
N o.
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2
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1.1 - An Introduction to Modeling
Operations Research (management science) is a
scientific approach to decision making that seeks to
best design and operate a system, usually under
conditions requiring the allocation of scarce
resources.
A system is an or
Breadco Bakeries
Breadco Bakeries bakes two kinds of bread: French and sourdough.
Each loaf of French bread can be sold for 36 cents, and each loaf of
sourdough bread for 30 cents. A loaf of French requires 1 yeast
packet and 6 oz of flour; sourdough requ
2.1 - Matrices and Vectors
Matrix a rectangular array of numbers
1 2
3
4
Typical m x n matrix
having m rows and n
columns. We refer to
m x n as the order of
the matrix. The
number in the ith row
and jth column of A is
called the ijth element
of A and is w
4.1 How to Convert an LP to Standard Form
Before the simplex algorithm can be used to solve an LP, the LP
must be converted into a problem where all the constraints are
equations and all variables are nonnegative. An LP in this form is
said to be in stand
Examples of LP Models
Developing models
1
Define the decision variables
Define the objective function
Define the constraints
Include the unrestricted in
sign and non-negative
constraints
Problems
1.
2.
3.
4.
5.
6.
The Diet Problem
The Post Office Problem
3.1 - What Is a Linear Programming Problem?
Example
Giapettos, Inc., manufactures wooden
soldiers and trains.
Each soldier built:
Sell for $27 and uses $10 worth of raw materials.
Increases Giapettos variable labor/overhead costs by $14.
Requires 2 hou