saja - Mathematical Technique for Managers

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 1 of 8

Instructions to Student

 Answer all questions.

 Deadline of submission: 04/06/2020 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 18/06/2020

Module Learning Outcomes The following LOs are achieved by the student by completing the assignment successfully

1) Apply appropriate techniques of algebraic operations to management applications.

2) Carry out the operations on matrices and apply them to solve simple application

problems.

3) a. Construct a linear cost, revenue and profit functions and conduct breakeven analysis

Assignment Objective

1. To test understanding of students on main Mathematical concepts lie under the above Los.

2. Test the ability of the students to apply Mathematical concepts in business problems.

Assignment Tasks

1. Zid, Salim and Hamad purchased soft drinks of 5 different brands A,B, C, D and E each

person purchased from each brand as following quantity matrix 𝑸 show:

𝐴 𝐵 𝐶 𝐷 𝐸

𝑍𝑖𝑑 15 2 5 9 5 𝑆𝑎𝑙𝑖𝑚 10 4 7 2 12

𝐻𝑎𝑚𝑎𝑑 9 6 12 8 11

If the brands costs are given by the matric 𝑪

IN SEMESTER INDIVIDUAL ASSIGNMENT

Module Code: MASC 10004 Module Name: Mathematical Technique for Managers

Level: 1 Max. Marks: 100

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 2 of 8

𝑪 =

[ 0.6 1

0.2 1.5 0.8]

Find the amount of money spend by each person if it is given by multiplying the quantity

by the costs of the brands, and conclude who spend more (6 marks)

2. A company manufacture two different products A and B, each unit of product A costs 8 OR

and each unit of product B costs 4 OR. The company insists that total costs for the two

products be 500 OR. Assuming that company manufactures in total 85 products. How many

product are of type A? (solve the problem using matrices applications) (12 marks)

3. Find the matrices x and y if

2𝑥 − 2𝑦 = [ 6 −4 −2 4 −14 10

] 𝑎𝑛𝑑 𝑥 + 𝑦 = [ 4 2 5

−2 −1 −7 ] (11 marks)

4. Let 𝐶 = [

−1 0 3 2

3 1 −2

2 2 −4

] and 𝑀 = [ −3 1 −1 0 1 3 7 −6 2

]. Find: det (|𝐶|𝑀𝑇), evaluate |𝐶| from 2nd

row (13 marks)

5. A college conference has total 160 papers, with 25 papers more from mathematics

department than doubled the papers from statistic department. Find the number of

statistics papers in the college conference. (8 marks)

6. Given the equation:

[ 5 −

𝑡

2 −1 −3

] + 2 [

4𝑦 5

2 10𝑥 + 11

6

] = [ 𝑥 −5 0 6

] − 3 [ 6 −4

−1 −𝑡 ]

Find x,y and t (13 marks)

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 3 of 8

7. A firm that make pens plan to make 1000 pens a week, Based off their production cost

through the years, they figure that it will cost them 100 Baisa to make each pen. There will

be also a cost of running the equipment for a week that they figure to be 35 Rials for the

whole week, regardless of how many pens they make. The factory decides to sell its 1000

pens for 200 Baisa each.

a. Find the weekly profit function then find the profit of selling all 600 pens.(6 marks)

b. How many weeks the firm need in order to break even (8 marks)

8.

a. Suppose the cost to produce some commodity is a linear function of output. Find cost

as a function of output if costs are 5,000 Rials for 550 units and 8,000 Rials for 860

units. (4 marks)

b. Find the output if the cost is decrease to 10000 Rials. (2 marks)

c. Find the cost of produce the commodity if there is no output (2 marks)

9. Given a matrices 𝐴 = [ 3 6

−2 −4 ], 𝐵 = [

1 −2 1 4

], 𝐶 = [ 12 12 −4 −2

],

a. Find a matrix 𝑋 if : 2𝐴 + 𝑋𝐵 = 𝐶 (13 marks)

b. Prove that matrix A is singular matrix (2 marks)

Rules & Regulations:

 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.

Guidelines:

 Assignment must be computer typed.

 Font - Size - 12

 Question number and subparts should be written clearly in Font Size 14, Bold, Capital

and Underline.

 Each student has to do the assignment individually.

 The units of the final results should mention

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

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Important Policies to be followed

1. Student Academic Integrity Policy*:

MEC upholds the spirit of academic integrity in all forms of academic work and any form of violation

of academic integrity shall invite severe penalty. Any benefit obtained by indulging in the act of

violation of academic integrity shall be cancelled.

All cases of violation of academic integrity on the part of the student shall fall under any of the below

mentioned categories:

1. Plagiarism

2. Malpractice

3. Ghost Writing

4. Collusion

5. Other cases

If the student fails a module and has a proven case of academic integrity violation in this module, the

student is required to re-register the module. This is applicable to first and second offenders of

plagiarism.

1. Plagiarism

A. First offence of plagiarism

I. If a student is caught first time in an act of plagiarism during his/her course of study in

any assignment other than project work, the student will be allowed to re-submit the

assignment once, within a maximum period of one week. However, a penalty of

deduction of 25% of the marks obtained for the resubmitted work will be imposed.

II. Period of re-submission: The student will have to re-submit the work one week from the

date he or she is advised to re-submit.

III. If the re-submitted work is also found to be plagiarized, then that assessment will be

awarded a zero mark. Re-submission of the work beyond the maximum period of one

week will not be accepted and the assessment will be awarded a zero mark.

B. Second offence of plagiarism

If any student is caught second time in an act of plagiarism during his/her course of study (in a

subsequent semester), the student will directly be awarded zero for the work in which plagiarism

is detected. In such cases, the student will not be allowed to resubmit the work. A warning of

suspension shall be issued, and student has to sign an undertaking and undergo counselling

session in such cases.

2. Malpractice/Ghostwriting/Collusion

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

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A. First offence of Malpractice/Ghostwriting/Collusion

If a student is caught in an act of Malpractice/Ghostwriting/Collusion for an assessment

component irrespective of coursework or end semester, the student shall fail the module

and shall be required to re-register the module

B. Second Offence of Malpractice/Ghostwriting/Collusion

If a student is caught a second time in an act of Malpractice/Ghostwriting/Collusion for

an assessment component irrespective of coursework or end semester, the student

shall fail the module. A warning of suspension shall be issued, and student has to sign

an undertaking and undergo counselling session in such cases.

3. Third Offence of Academic Integrity Violation

If a student is caught a third time in an act of Academic Integrity Violation for an assessment

component irrespective of coursework or end semester (in a subsequent semester), the student

shall fail the module and also shall be suspended for one semester from the College, as

recommended by institutional level academic committee, Chaired by the Associate Dean, Academic

Affairs.

4. Fourth Offence of Academic Integrity Violation:

If a student is caught a fourth time in an act of Academic Integrity Violation for an assessment

component irrespective of coursework or end semester (in a subsequent semester), the student shall

fail the module and also shall be expelled from the College, as recommended by institutional level

academic committee, Chaired by the Associate Dean, Academic Affairs.

5. Other cases

If a student commits an act of academic integrity violation as per the definition of “other cases”

mentioned in the previous section or of a different nature, student’s case shall be forwarded to an

institutional level academic committee, Chaired by the Associate Dean, Academic Affairs. The

committee shall investigate the case by means of a viva and/or a disciplinary hearing and shall take

appropriate decision. The penalty that can be granted to a proven case of academic integrity violation

which falls in this category of “other cases” can be a warning/component zero/ module

fail/suspension/expulsion depending on the nature and gravity of the offence.

6. Types/Variations of Cases:

I. If plagiarism is detected in any component of one assessment, the deduction in marks will be

applicable for the whole assessment, even if only the component or part submission alone needs

to be resubmitted.

II. If plagiarism is detected in a group assessment, all students of the group will be considered as

having committed an act of plagiarism and the policy will then be applied to all students

III. If plagiarism is detected in any component of a group assessment, the deduction in marks will be

applicable for the whole assessment even if only the component or part submission alone needs

to be resubmitted.

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 6 of 8

All students of the group would be considered as having committed an act of plagiarism and the

policy will then be applied to all the students of the group.

IV. If the assessment consists of components or part submissions that could be a group assessment

component (e.g. group assignment) and an individual assessment component (e.g. individual

reflection), the following will be applicable:

a. If plagiarism is detected in the group assessment component, all students of the group

will be considered as having committed an act of plagiarism, The policy will then be

applied to all students of the group. Group assessment component will be resubmitted

as per the policy.

b. If plagiarism is detected in the individual assessment component, the individual

assessment component will be resubmitted and the policy will then be applied to that

student alone.

c. For both (a) and/or (b), the deduction in marks will be applicable for the whole

assessment.

* for further details Refer to MEC Student Academic Integrity Policy in Student Handbook.

2. Late Submission Regulations:

It is the students’ responsibility to check all relevant timelines related to assessments.

As per the Assessment Policy at MEC, late submissions are allowed for one week (5 working days)

for all UG modules with a penalty. In such cases, a deduction of 5% of the marks obtained for the

submitted work shall be imposed for each working day following the last date of submission

till the date of actual submission. Assessment documents submitted beyond a period of one

week (5 working days) after the last date of submission will not be accepted and will be awarded

a zero for that assessment. In cases where the submission has been delayed due to extenuating

circumstances, the student may be permitted to submit the work without imposing the late

submission policy stated above. The extended period of submission will be one week from the

original last date of submission. In such cases, the student is expected to submit the supporting

certificates on or before the original last date of submission of the assessment and the decision

of extension rests with faculty responsible for the assessment .The late submission policy shall be

applied if the student fails to submit the work within one week of the original last date of

submission.

Students may contact their teachers for clarification on specific details of the submission time if

required.

3. Research Ethics and Biosafety Policy

To protect and respect the rights, dignity, health, safety, and privacy of research subjects involved

including the welfare of animals and the integrity of environment, all student projects are

expected to be undertaken as per the MEC Research Ethics and Biosafety Policy. Accordingly the

following shall apply.

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 7 of 8

 Research and other enterprise activities shall be conducted by maintaining the high ethical

standards consistent with national and international standards and conventions.

 Any research at MEC that is categorized as high-risk research shall be subject to review and

approval by the Research Ethics and Biosafety Committee.

 Research activities involving collection of human or animal tissues and manipulation of microbial,

animal or plant cells shall be subject to review and approval by the Research Ethics and Biosafety

Committee.

 Participants involved in research must be informed about the purpose of research and intended

uses of research findings. Written consent must be obtained from people involved prior to the

commencement of research.

 Data obtained from participants must be treated with high confidence and should be used only

for the intended purpose of research.

Assessment Evaluation Criteria Classification

And % Range <to be given

as per requirement> Reflection and critical

analysis. Knowledge and

Understanding/

Application of Theory Evidence of Reading Referencing and

Bibliography Presentation, Grammar

and Spelling

Outstanding

Highly competent

analytical skills and

reflective practice,

demonstrating personal

learning and growth,

insight into required

professional values and

principles and professional

development planning.

Extensive knowledge and

depth of understanding of

principles and concepts

and /or outstanding

application of theory in

practice.

Evidence of reading an

extensive range of

educational

literature/research and

where applicable

workplace strategies,

policies and procedures.

Accurate referencing and

bibliography correctly

using appropriate

referencing style

Excellent presentation,

logically structured, using

correct grammar and

spelling, excellent cross-

referencing and links to

supporting evidence

Excellent

Strong analytical skills and

reflective practice used,

demonstrating personal

learning and growth,

insight into required

professional values,

principles and

competencies and

professional development

planning.

Excellent knowledge and

understanding of principles

and concepts and /or

excellent knowledge and

understanding of the

application of theory in

practice

Evidence of reading a wide

range of educational

literature/research and

where applicable,

workplace strategies,

policies and procedures.

Appropriate referencing

and bibliography correctly

using appropriate

referencing style

Good presentation,

competently structured,

using correct grammar and

spelling, clear and easy to

use links to supporting

evidence

Very Good Quality

Good use of analytical skills

and reflective practice

demonstrating personal

learning and growth,

insight into required

professional values,

principles and

competencies and

professional development

planning.

Good knowledge or key

principles and concepts

and/or good knowledge of

the application of theory in

practice

Evidence of reading a good

range of educational

literature/research and

where applicable workplace

strategies, policies and

procedures.

Generally well referenced

with correct use of the

appropriate referencing

style

Reasonable presentation,

completely structured,

acceptable grammar and

spelling, acceptable links to

supporting evidence

Good (Acceptable)

Acceptable use of analytical

skills and reflective practice

demonstrating personal

learning and growth,

insight into required

professional values,

principles and

competencies and

professional development

planning.

Acceptable knowledge of

key principles and concepts

and/or knowledge of the

application of theory in

practice

Evidence of reading an

appropriate range of

educational

literature/research and

where applicable, relevant

workplace policies and

procedures

Adequate referencing.

Generally accurate use of

appropriate referencing

style

Adequate presentation and

structure, acceptable

grammar and spelling,

adequate links to

supporting evidence

Adequate/ Satisfactory

Adequate use of analytical

skills and reflective practice

demonstrating personal

learning and growth,

insight into required

Adequate knowledge of key

principles and concepts

and/or satisfactory

evidence of the application

of theory in practice.

Evidence of minimal

reading of educational

literature/research and

where applicable relevant

Adequate referencing.

Appropriate referencing

style used but may contain

some inaccuracies.

Weak presentation ,

satisfactory structure,

grammar and spelling, links

to supporting evidence

MTM (MASC 10004) – Spring - 2020 – CW (Assignment) – QP

MEC_AMO_TEM_034_01 Page 8 of 8

professional values,

principles and

competencies and

professional development

planning.

workplace policies and

procedures

Weak /Poor

(all learning outcomes not

adequately met)

Little use of analytical skills

and reflective practice

demonstrating personal

learning and growth,

insight into required

competencies and/or

professional development

planning. Professional

values and principles not

reflected in the submission.

and/or

Insufficient/no use of

analytical skills and

reflective practice

demonstrating personal

learning and growth,

insight into required

competencies and

professional development

planning

Little evidence of

knowledge of key

principles or concepts

and/or little evidence of

the application of theory in

practice

and/or

No evidence of knowledge

of key principles or

concepts and/or no

evidence of application of

theory in practice

Little or no evidence of

reading outside of the

course textbook and/or

reference to relevant work

place policies and

procedures

and/or

No evidence of reading

outside of the course

textbook and/or reference

to relevant workplace

policies and procedures

Little or no referencing,

incorrect style, or very

inaccurate use of

appropriate referencing

style

Poor presentation,

grammar and spelling, links

to supporting evidence

and/or

Unacceptable

presentation, grammar

and spelling, structure is

very poor, links to

supporting evidence