MASC 20004 American Academy of English Quantitative Methods for Business Report

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Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
IN SEMESTER (INDIVIDUAL) ASSIGNMENT
Module Code: MASC20004
Module Name: Quantitative Methods for Business
Level: 2
Max. Marks: 100
Instructions to Students:
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Answer all questions.
Please check the note given under Qno.2, 3 and 4 and follow the note strictly.
Deadline of submission: 27/04/2021 23:59
The marks received on the assignment will be scaled down to the actual weightage of the
assignment which is 50 marks
Formative feedback on the complete assignment draft will be provided if the draft is submitted at
least 10 days before the final submission date.
Feedback after final evaluation will be provided by 11/05/2021.
Module Learning Outcomes
The following LOs are achieved by the student by completing the assignment successfully
1. Construct and solve Linear Programming models.
2. Construct and test statistical hypotheses.
Assignment Objective
1. To test the understanding and application of Mathematical concepts learning.
2. To test the calculation skills and Mathematical modelling ability of the learner.
3. To test the knowledge acquired by the learners on using statistical test and ability to infer
on the outcomes.
Assignment Tasks
1. Reflect with a brief note at least five points, what you learned from the MOOC course “Business Applications
of Hypothesis Testing and Confidence Interval Estimation( Course Era) or Decision- making models for
managers in problem solving(Udemy) or Introduction to Project Management/PM101 Training session
(Udemy)
(4 marks)
(Enclose the screenshots of registration copy and your achievement in each level that how much you have
completed. If you have completed the course, share the copy of the completion certificate)
MEC_AMO_TEM_035_02
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Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
2. A Company plans to advertise its products to its potential customers. Following data have been provided by
the marketing team.
Newspaper
Television
Facebook
YouTube
Cost of an advertising Unit
(30,000 + 𝒂)
Number of potential customers 2,00,000
reached per unit
Number of customers less than 18 years 1,50,000
reached per unit
(20,000 + 𝑏)
(15,000 + 𝒄)
(10,000 + 𝒅)
6,00,000
1,50,000
1,00,000
4,00,000
70,000
50,000
The company is having a budget of (4, 50,000 * 𝒂) rials for advertising. The requirement of the company
are given below:
 The advertisement must reach at least one million Young generation customers (age less than 18
years)
 Advertisement on social media must be limited to 1,50,000 rials.
 Atleast 3 advertising units be bought on Facebook and 2 units on YouTube.
 The number of advertising unit on television and newspaper should each be between 5 and 10.
Formulate a Linear programing model for the problem.
(20 Marks)
(Note: 𝒂, 𝒃, 𝒄 𝒂𝒏𝒅 𝒅 are non-zero numbers from your Mec ID number from right side.
For example If your MEC id number is 98F76543 then 𝒂 = 𝟑, 𝒃 = 𝟒, 𝒄 = 𝟓, 𝒅 = 𝟔)
3. 𝑀𝑎𝑥𝑖𝑚𝑖𝑠𝑒 𝑍 = 3𝒂𝑥 + 4𝒂𝑦
Subject to the constraints
5𝑥 + 4𝑦 ≤ 200
3𝑥 + 5𝑦 ≤ 150
5𝑥 + 4𝑦 ≥ 100
8𝑥 + 4𝑦 ≥ 80
𝑥, 𝑦 ≥ 0
Solve the above LPP graphically. Draw the constraints and objective function in a graph sheet (use black color
pen to shade the optimal region. Upload the scanned image.)
(20 Marks)
(Note: ‘𝒂’ is the last non zero number in your Mec id number)
4. Solve the following linear programming problem using simplex method:
𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒 𝑍 = (𝒂 + 5)𝑥1 + 3(𝒂 + 5)𝑥2 + 12(𝒂 + 5)𝑥3
Subject to the constraints
7𝑥1 + 4𝑥2 + 2𝑥3 ≤ 60
4𝑥1 + 11𝑥2 + 4𝑥3 ≥ 72
2𝑥1 + 4𝑥2 + 19𝑥3 ≤ 100
𝑥1 , 𝑥2 , 𝑥3 ≥ 0
(Note: ‘𝒂’ is the last non zero number in your Mec id number)
MEC_AMO_TEM_035_02
(30 marks)
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Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
5. Create an online survey to collect the following data Age(completed year), Height(cms) and Weight(kgs) at
least for 50 people. List the data collected in a table and share the response link.
(10 Marks)
6. From Your survey consider the age group of 18-22 only and list the top ten heights as your sample data. Does
your data support the assumption that the height of person in the age group of 18-22 is more than 160 cms.
Use the proper statistical tool, frame the hypothesis and comment on the validity of null hypothesis under 5%
level of significance.
(16 Marks)
MEC_AMO_TEM_035_02
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Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
MEC_AMO_TEM_035_02
Page 4 of 14
Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
Rules & Regulations:
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All resources should be cited using CU Harvard style.
The final assignment must have a Title page, Table of Contents, References/ bibliography using CU
Harvard Style and page numbers.
Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of the
faculty.
Softcopy in word format is to be submitted through Turnitin link on Moodle.
Viva will be conducted after the assignment submission as per the dates informed earlier.
Guidelines:
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Assignment must be computer typed.
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Font – Calibri(body)
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Font – Style – Regular
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Font – Size – 11
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Heading should be with Font Size 14, Bold, Capital and Underline.
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Header “ Summative Assignment 01 – student Name( MEC Id no)”
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Footer: “ Quantitative Methods for Business…………………………… page x of N”
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Arrange the pages in the order
1. Front page with student details.
2. Image of (Scan copy) student declaration page image
3. Type only answers in the same order of questions given in Question paper(QP)..
Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable software or
by pencil.
Each student has to do the assignment individually
You can refer books in E-Library or use internet resource. But you should not cut and paste material from
internet nor provide photocopied material from books. The assignment answers should be in your own
words after understanding the matter from the above resources.
Assessment Evaluation Criteria
First Class
Classification
And % Range
Outstanding
94 -100
Knowledge and
Understanding /
Application of Theory /
Evidence of Reading
Technical / Practical
Skills
Reflection and critical
analysis
 Outstanding
 Tasks completed with  Outstanding skills for
knowledge and depth
very high accuracy.
critical
analysis,
of understanding of  Outstanding skills in
evaluation
and
principles
and
synthesizing.
interpretation
of
concepts.
results
/
and  Outstanding reflective
 Outstanding ability to
accomplishing
practices,
apply the theoretical
practical tasks.
demonstrating
concepts
by  Demonstrates
outstanding personal
high
considering
of
learning and growth,
degree of autonomy in
insight into required
completing tasks
MEC_AMO_TEM_035_02
General / Transferable
skills*
 Outstanding ability to
use learning resources
 Outstanding
presentation, logically
structured,
using
accurate grammar and
spelling.
 Mostly correct crossreferencing and links
to supporting evidence
Page 5 of 14
Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
information
systematically.
 Evidence of reading a
wide
range
of
educational
literature/research and
where
applicable
workplace strategies,
policies
and
procedures.
Excellent
84 – 93.99
professional
values
and principles and
professional
development planning.
 Original
Findings
presented
with
conviction and justified
very well
 Excellent knowledge  Tasks completed with  Excellent skills for
and
depth
of
high accuracy.
critical
analysis,
understanding
of  Excellent
evaluation
and
skills
in
principles
and
synthesizing.
interpretation
of
concepts.
results
/
and  Excellent
reflective
 Excellent ability to
accomplishing
practices,
apply the theoretical
practical tasks.
demonstrating
concepts
by
excellent
personal
considering
of
learning and growth,
information
insight into required
systematically.
professional
values
and principles and
 Evidence of beyond the
professional
minimum
expected
development planning.
range of of educational
 Findings
presented
literature/research and
where
applicable
with conviction and
workplace strategies,
justified well
policies
and
procedures.
MEC_AMO_TEM_035_02
 Outstanding ability to
communicate
the
information verbally
and in writing.
 Outstanding ability to
work in groups and to
manage teams.
 Outstanding ability to
learn autonomously.
 Very
accurate
referencing
and
bibliography
using
appropriate
referencing style
 Outstanding problem
solving
skills
and
outstanding decisionmaking skills.
 Excellent ability to use
learning resources
 Excellent presentation,
logically
structured,
using
accurate
grammar and spelling.
 Mostly correct crossreferencing and links
to supporting evidence
 Excellent ability to
communicate
the
information verbally
and in writing.
 Excellent ability to
work in groups and to
manage teams.
 Excellent ability to
learn autonomously.
 Accurate referencing
and bibliography using
appropriate
referencing style
 Excellent
problem
solving
skills
for
decision-making skills.
Page 6 of 14
Second Class, Upper Division
Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
Very Good
77 – 83.99
 Very good knowledge  Tasks completed with  Very good skills for
and
depth
of
very good accuracy.
critical
analysis,
understanding
of  Very good skills in
evaluation
and
principles
and
synthesizing.
interpretation
of
concepts.
results
/
and  Very good reflective
 Very good ability to
accomplishing
practices,
apply the theoretical
practical tasks.
demonstrating
very
concepts
by
Good personal learning
considering
of
and growth, insight
information
into
required
systematically.
professional
values
and principles and
 Evidence of reading a
professional
very good number of
development planning.
educational
literature/research and
 Findings
presented
where
applicable
with conviction with
workplace strategies,
very good justification
policies
and
procedures.
MEC_AMO_TEM_035_02
 Very good ability to use
learning resources
 Very
good
presentation, logically
structured,
using
accurate grammar and
spelling.
 Mostly correct crossreferencing and links
to supporting evidence
 Very good ability to
communicate
the
information verbally
and in writing.
 Very good ability to
work in groups and to
manage teams.
 Very good ability to
learn autonomously.
 Precise
referencing
and bibliography using
appropriate
referencing style
 Very good problem
solving skills decisionmaking skills.
Page 7 of 14
Third Class
Second Class, Lower Division
Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
Good
70 – 76.99
Satisfactory
60 – 69.99
 Good knowledge and  Tasks completed with  Good skills for critical
depth
of
good accuracy.
analysis,
evaluation
understanding
of  Good
and synthesizing.
skills
in
principles
and
interpretation
of  Good
reflective
concepts.
results
/
and
practices,
 Good ability to apply
accomplishing
demonstrating good
the
theoretical
practical tasks.
personal learning and
concepts
by
growth, insight into
considering
of
required professional
information
values and principles
systematically.
and
professional
development planning.
 Evidence of reading a
 Findings
presented
good
number
of
educational
with conviction and
literature/research and
good justification.
where
applicable
workplace strategies,
policies
and
procedures.
 Satisfactory knowledge  Tasks completed with  Satisfactory skills for
and
depth
of
satisfactory accuracy.
critical
analysis,
understanding
of  Satisfactory skills in
evaluation
and
principles
and
synthesizing.
interpretation
of
concepts.
results
/
and  Satisfactory reflective
 Fair application of the
accomplishing
practices,
theoretical concepts by
practical tasks.
demonstrating
fair
considering
of
personal learning and
information
growth, insight into
systematically.
required professional
values and principles
 Evidence of reading a
and
professional
fair
number
of
development planning.
educational
 Findings
presented
literature/research and
where
applicable
with conviction and
workplace strategies,
satisfactory
policies
and
justification.
procedures.
MEC_AMO_TEM_035_02
 Good ability to use
learning resources
 Good
presentation,
logically
structured,
using
accurate
grammar and spelling.
 correct
crossreferencing and links
to supporting evidence
 Good
ability
to
communicate
the
information verbally
and in writing.
 Good ability to work in
groups and to manage
teams.
 Good ability to learn
autonomously.
 Good referencing and
bibliography
using
appropriate
referencing style
 Good problem solving
skills and decisionmaking skills.
 Satisfactory
presentation, logically
structured,
using
accurate grammar and
spelling.
 Satisfactory
crossreferencing and links
to supporting evidence
 Satisfactory ability to
communicate
the
information verbally
and in writing.
 Satisfactory ability to
work in groups and to
manage teams.
 Satisfactory ability to
learn autonomously.
 Satisfactory
referencing
and
bibliography
using
appropriate
referencing style
 Satisfactory problem
solving
skills
and
exceptionally
Page 8 of 14
Quantitative methods for Business (MASC20004)-Spring-2021- CW 01 (Assignment) – R- QP
Acceptable
/ Pass
50 – 59.9
 Basic knowledge and  Tasks completed with  Basic skills for critical
depth
of
minimum acceptable
analysis,
evaluation
understanding
of
accuracy.
and synthesizing.
principles
and  Acceptable skills in  Basic
reflective
concepts.
interpretation
of
practices,
 Basic ability to apply
results
/
and
demonstrating some
the
theoretical
accomplishing
personal learning and
concepts
by
practical tasks.
growth, insight into
considering
of
required professional
information
values and principles
systematically.
and
professional
development planning.
 Evidence of reading a
 Findings
presented
few
number
of
educational
with conviction and
literature/research and
acceptable
where
applicable
justification.
workplace strategies,
policies
and
procedures.







Fail / Poor

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