Example 5:Solve the following LPP using graphical method.
Minimize Z = 5 x1 + 4 x2
Subject to
x1 + x2 2
x1 8
x2 9
x1, x2 0
Solution:
1- Replace the inequality sign in each constraint by anequal to sign
x1 + x2 = 2
x1 = 8
x2 = 9
2-Represent all constraint

Operation Research :
Quiz 1
Questio1:
Indicate beside the number of each statement below whether it is true (T) or false (F)
1- An optimal solution is a feasible solution that results in the largest possible objective
function value, z, when maximizing or

Operations Research
Course Objectives:
Operations research helps in solving problems in diffenert
dicisions .This course aims to introduce students to use
quantitive methods and techniques for effective decisions
making; model formulation and applications

Standard form & Solve of a maximum problem
A linear programming problem is in standard form if it seeks to
maximize the objective function
Z= c1x1 + c2x2 + + cnxn
subject to the constraints:
a11x1 + a12x2 + + a1nxn b1
a21x1 + a22x2 +
+ a2nxn b2
am1x1 + a

Lecture 1
Concepts in Islamic Economy
First of all, the most important concepts related to
Islamic Economy are as follows:
a-The concept of Islamic economic thought,
b- The concept of institution,
c- The concept of economy,
d- The concept of the economic

Lecture 4: properties of Islamic
economy (continued.)
Second: The Islamic economy is part of the
Islamic structure:
What is meant by the Islamic structure that the
Islamic economy is a part thereof is the
comprehensive teachings of Islam in both two
maj

Part : 2
The simplex method
(1)
/https:/sites.google.com/site/drah1960az
1
Introduction
In this section we will solve the linear programming problem
by simplex method.
The simplex method, is a general mathematical solution
technique for solving linear pro

A quick test onLecture 1
1- Which of the following statements are true and
which are false?
A- Thought in general is a purely mental activity.
B- Islamic economic thought is based on
assumptions and analytical tools.
C- the study of price and market p

Lecture 5: Third, Realism of Islamic
economy in both goals and means
Allah Almighty never entrusts mankind with
things that are too difficult to perform as He
says "
which means "and hath not laid
upon you in religion any hardship Surah AlHajj

A quick test on the pervious lectures
Choose the correct answers of the following:
1- The following two attributes distinguish an
Islamic economist from whom else:
A- Embracing Islam and obtaining good
knowledge of economic literature.
B- Embracing Is

Lecture 11: public financial duties on
private ownership
The public financial duties on full ownership,
according to the economic doctrine of Islam are
divided into two types as follows:
A - Public financial duties imposed on private perfect
ownership o

A quick test on the pervious lectures
Choose the correct answers of the following:
1- The following two attributes distinguish an
Islamic economist from whom else:
A- Embracing Islam and obtaining good
knowledge of economic literature.
B- Embracing Is

Lecture 10: Scopes of property in the
economic doctrine of Islam.
Secondly, ownership according to the type of the
Owner can be classified as follows:
(1)- State ownership:
It means that any sort of wealth that the Head of
the Islamic state (Waleo Almr