Exercise 22 Solve the transportation problem having the following cost,
requirement, availability table. Start with your first solution coming from
the matrix method.
55 70 35 40
13 11 18 17
2 14 10 1
5 8 18 11
Exercise 23 It is required
Lecture Review 1
Before coming up with final decision for the current issue, it is essential for
me to go through James Rests model of ethical decision making for in-depth analysis.
There are four stages: moral awareness, moral judgment, moral intention,
Question 1,2, and 3 of Chapter 1
Firstly, out of the six principles used to develop this book, personally principle 5,
as leadership qualities and skills can be learned and developed" is stated, I most closely
agree with and believe that it's also the
What is Power?
Power is the ability to influence other people to reach the expected outcomes. It usually requires
a high position of authority in an organization to allow the person who exerts that ability to have
more confidence in his vision. This refer
What is Leadership?
Leadership is an essential practical skill that can greatly influence other people in a
negative or positive way. Although, there might be a sufficient number of leadership styles; they
all aim to achieve the organizationa
Lecture review 4
Many types of ethical issues can be easily found in every workplace across the world.
Working conditions, fair wages, and gender discrimination are just a few common examples to
mention about. However, in my opinion, the most commonly con
Lecture review 5
As a globally well-known beverage brand, Coca-Cola is the leading company in making beverage products with a
wide range from carbonated drinks to coffee and tea types that are served over 200 countries nationwide. Coca-Cola
started its op
Lecture review 2
The most impressive and interesting new knowledge that I learnt in Lecture 5-6 is
how an individual, business or organization operates and develops sustainably in a
socially responsible manner. Further detailed explanations and examples w
The value of education in development
Development Studies is the composition of poverty, development, and inequalities. Thus,
education plays a major role in forming judgments about development. For example, Vietnamese
used to experience illiteracy which
1. Given Stephanies background and experience, do you think the
Innostat Board of
Directors made a wise choice in selecting her as the successor to
Jack? Why or why not?
2. What approach would you recommend to Stephanie to get
Innostat back on track? Why?
Exercise 15 Suppose that we consider the asymmetric dual to the primal
canonical linear programming problem
maximise z = c x
Ax = b
where A Rmn , b Rm and c Rn are given. Prove that the conclusion
of the Weak Duality Theorem is sti
Linear Programming Exercises
Exercise 1 Consider the case of the Betta Machine Products Company described in the lecture notes.
(a) Use a graphical method to obtain the new optimal solution when the
selling price of product 2 changes to (i) 55 poun
Exercise 11 Solve the following problem by the two phase method.
maximise z = x1 + x2 2x3 + 2x4
x1 x2 x3 2x4 2
x1 + x2 + x4 8
x1 + 2x2 x3 = 4
x1 , ., x4 0.
Exercise 12 A health food shop packages three types of snack foods; chewy,
Exercise 25 Suppose now in question 23 there is a reduction in transport
cost of 10 per machine taken from A for any machines above six. (This
is separate from and not in addition to the change described question 3.)
Use the same device as in quest
Exercise 19 Go back and do part (iii) of Exercise 17.
Exercise 20 Show without using the Simplex Method that
xT = (
5 5 27
, , )
26 2 26
is an optimal solution to the following linear programming problem:
maximise z = 9x1 + 14x2 + 7x3
Exercise 8 A mining company produces 100 tons of red ore and 80 tons of
black ore each week. These can be treated in dierent ways to produce three
dierent alloys, Soft, Hard or Strong. To produce 1 ton of Soft alloy requires
5 tons of red ore and 3
Exercise 28 Find a maximal flow and a minimal cut for the following network. Show explicitly the flows in the individual arcs.
0 9 6 2 0 0 0
B 0 0 0 0 6 0 0 C
B 0 0 0 4 2 5 0 C
B 0 0 3 0 0 5 0 C
B 0 6 3 0 0 0 5 C
@ 0 0 5 5 0 0 1
Exercise 5 Consider a linear programming problem given in standard form
(S). That is to say,
maximise z = c x
where A Rmn , x Rn and b Rm . Write down the associated problem
in canonical form (C). Prove that if (C) has an opti
Lecture Review 3
Human rights have been imprinted in every single human being's mind since
long ago. However, not everyone fully understands the concept behind human rights as
well as its historical formation that is widely accepted and applied into daily