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Solved assignment problems – algorithms and flowcharts.

An algorithm is defined as sequence of steps to solve a problem (task) . The steps must be finite, well defined and unambiguous. Writing algorithm requires some thinking. Algorithm can also be defined as a plan to solve a problem and represents its logic. Note that an algorithm is of no use if it does not help us arrive at the desired solution

Algorithm characteristics

  • It should have finite number of steps . No one can be expected to execute infinite number of steps.
  • The steps must be in order and simple
  • Each step should be defined clearly i.e. without un-ambiguity (without doubtfulness)
  • Must include all required information
  • Should exhibit at least one output

A flowchart is a pictorial (graphical) representation of an algorithm . A flowchart is drawn using different kinds of symbols. A symbol is used for a specific purpose. Each symbol has name.

An algorithm is defined as . .Set of instructions. Instruction is a command to the computer to do some task.
Algorithm can also be defined as a plan to solve a problem and represents its logic.A picture is worth of 1000 words. We can understand more from picture than words.Implementation of Algorithm or flowchart

Different algorithms have different performance characteristics to solve the same problem. Some algorithms are fast. Some are slow. Some occupy more memory space. Some occupy less memory space. Some are complex and some algorithms are simple.

Logically algorithm, flowchart and program are the same.

Q1 . Create a program to compute the volume of a sphere. Use the formula: V = (4/3) *pi*r 3 where pi is equal to 3.1416 approximately. The r is the radius of sphere.  Display the result.

assignment problem questions and answers pdf

Q2 . Write a program the converts the input Celsius degree into its equivalent Fahrenheit degree. Use the formula: F = (9/5) *C+32.

assignment problem questions and answers pdf

Q3 . Write a program that converts the input dollar to its peso exchange rate equivalent.  Assume that the present exchange rate is 51.50 pesos against the dollar. Then display the peso equivalent exchange rate.

assignment problem questions and answers pdf

Q4 . Write a program that converts an input inch(es) into its equivalent centimeters. Take note that one inch is equivalent to 2.54cms.

assignment problem questions and answers pdf

Q5 . Write a program that exchanges the value of two variables: x and y.  The output must be: the value of variable y will become the value of variable x, and vice versa.

assignment problem questions and answers pdf

Q6 . Design a program to find the circumference of a circle. Use the formula: C=2πr, where π is approximately equivalent 3.1416.

assignment problem questions and answers pdf

Q7 . Write a program that takes as input the purchase price of an item (P), its expected number of years of service (Y) and its expected salvage value (S). Then outputs the yearly depreciation for the item (D). Use the formula: D = (P – S) Y.

assignment problem questions and answers pdf

Q8 . Swapping of 2 variables without using temporary (or 3 rd variable).

assignment problem questions and answers pdf

Q9 . Determine the most economical quantity to be stocked for each product that a manufacturing company has in its inventory: This quantity, called economic order quantity (EOQ) is calculated as follows: EOQ=2rs/1 where: R= total yearly production requirement S=set up cost per order I=inventory carrying cost per unit.

assignment problem questions and answers pdf

Q10 . Write a program to compute the radius of a circle. Derive your formula from the given equation: A=πr², then display the output.

assignment problem questions and answers pdf

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OPERATIONS RESEARCH

Lesson 9. solution of assignment problem.

Current course

Problem Questions with Answer, Solution - Exercise 10.2: Assignment problems(Hungarian Method) | 12th Business Maths and Statistics : Chapter 10 : Operations Research

Chapter: 12th business maths and statistics : chapter 10 : operations research, exercise 10.2: assignment problems(hungarian method).

Exercise 10.2

1. What is the Assignment problem?

2. Give mathematical form of assignment problem.

3. What is the difference between Assignment Problem and Transportation Problem?

4. Three jobs A, B and C one to be assigned to three machines U, V and W. The processing cost for each job machine combination is shown in the matrix given below. Determine the allocation that minimizes the overall processing cost.

assignment problem questions and answers pdf

5. A computer centre has got three expert programmers. The centre needs three application programmes to be developed. The head of the computer centre, after studying carefully the programmes to be developed, estimates the computer time in minitues required by the experts to the application programme as follows.

assignment problem questions and answers pdf

 Assign the programmers to the programme in such a way that the total computer time is least.

6. A departmental head has four subordinates and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. His estimates of the time each man would take to perform each task is given below

assignment problem questions and answers pdf

How should the tasks be allocated to subordinates so as to minimize the total man-hours?

7. Find the optimal solution for the assignment problem with the following cost matrix.

assignment problem questions and answers pdf

8. Assign four trucks 1, 2, 3 and 4 to vacant spaces A, B, C, D, E and F so that distance travelled is minimized. The matrix below shows the distance.

assignment problem questions and answers pdf

4. 46 

5. 280 

6. 41 Hours 

7. 37 

8. 12 

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270+ Operations Research Solved MCQs

1.
A. objective function
B. decision variable
C. constraints
D. opportunity cost
Answer» A. objective function
2.
A. infeasible region
B. unbounded region
C. infinite region
D. feasible region
Answer» D. feasible region
3.
A. outgoing row
B. key row
C. basic row
D. interchanging row
Answer» C. basic row
4.
A. dummy
B. epsilon
C. penalty
D. regret
Answer» B. epsilon
5.
A. ncwr
B. lcm
C. vam
D. hungarian
Answer» D. hungarian
6.
A. head path
B. sub path
C. critical path
D. sub critical path
Answer» C. critical path
7.
A. 7
B. 10
C. 18
D. 8
Answer» B. 10
8.
A. interfering float = total float – free float
B. total float =free float + independent float
C. total float ≥ free float ≥ independent float
D. free float = total float – head event slack
Answer» B. total float =free float + independent float
9.
A. expected
B. pessimitic
C. optimistic
D. most likely
Answer» C. optimistic
10.
A. processing order
B. idle time
C. processing time
D. elapsed time
Answer» D. elapsed time
11.
A. physical
B. symbolic
C. deterministic
D. probabilistic
Answer» C. deterministic
12.
A. physical
B. symbolic
C. deterministic
D. probabilistic
Answer» D. probabilistic
13.
A. cpm and pert
B. assignment & transportation
C. game theory
D. decision theory & inventory models
Answer» A. cpm and pert
14.
A. objective function
B. decision variables
C. constraints
D. opportunity cost
Answer» B. decision variables
15.
A. objective function
B. decision variables
C. constraints
D. opportunity cost
Answer» A. objective function
16.
A. objective function
B. variables
C. constraints
D. profit
Answer» C. constraints
17.
A. infeasible
B. unbounded
C. improper
D. unknown
Answer» A. infeasible
18.
A. less than or equal to
B. greater than or equal to
C. mixed
D. equal to
Answer» D. equal to
19.
A. infeasible
B. infinite
C. unique
D. degenerate
Answer» B. infinite
20.
A. key column
B. incoming column
C. important column
D. variable column
Answer» A. key column
21.
A. vital element
B. important element
C. basic element
D. key element
Answer» D. key element
22.
A. surplus
B. artificial
C. slack
D. additional
Answer» C. slack
23.
A. null resource
B. scarce resource
C. abundant resource
D. zero resource
Answer» B. scarce resource
24.
A. either zero or positive
B. either zero or negative
C. only positive
D. only negative
Answer» A. either zero or positive
25.
A. vogel’s approximat ion method
B. nwcr
C. lcm
D. modi
Answer» C. lcm
26.
A. infeasible solution
B. feasible solution
C. optimum solution
D. degenerate solution
Answer» B. feasible solution
27.
A. infeasible solution
B. feasible solution
C. non degenerate solution
D. degenerate solution
Answer» C. non degenerate solution
28.
A. vam
B. nwcr
C. modi
D. lcm
Answer» A. vam
29.
A. balanced
B. unbalanced
C. infeasible
D. unbounded
Answer» B. unbalanced
30.
A. vam
B. nwcr
C. modi
D. hungarian
Answer» D. hungarian
31.
A. cost
B. regret
C. profit
D. dummy
Answer» B. regret
32.
A. critical
B. sub-critical
C. best
D. worst
Answer» A. critical
33.
A. tentative
B. definite
C. latest
D. earliest
Answer» C. latest
34.
A. machines order
B. job order
C. processing order
D. working order
Answer» C. processing order
35.
A. processing
B. waiting
C. free
D. idle
Answer» D. idle
36.
A. objective function
B. decision variables
C. constraints
D. opportunity cost
Answer» C. constraints
37.
A. less than
B. greater than
C. not greater than
D. not less than
Answer» A. less than
38.
A. infeasible
B. infinite
C. unbounded
D. feasible
Answer» D. feasible
39.
A. multiple constraints
B. infinite constraints
C. infeasible constraints
D. mixed constraints
Answer» D. mixed constraints
40.
A. outgoing row
B. key row
C. interchanging row
D. basic row
Answer» B. key row
41.
A. null resource
B. scarce resource
C. abundant resource
D. zero resource
Answer» C. abundant resource
42.
A. unit price
B. extra price
C. retail price
D. shadow price
Answer» D. shadow price
43.
A. either zero or positive
B. either zero or negative
C. only positive
D. only negative
Answer» B. either zero or negative
44.
A. vogel’s approximat ion method
B. nwcr
C. lcm
D. modi
Answer» A. vogel’s approximat ion method
45.
A. dummy
B. penalty
C. regret
D. epsilon
Answer» D. epsilon
46.
A. there is no degeneracy
B. degeneracy exists
C. solution is optimum
D. problem is balanced
Answer» A. there is no degeneracy
47.
A. dummy
B. non-critical
C. important
D. critical
Answer» D. critical
48.
A. one
B. zero
C. highest
D. equal to duration
Answer» B. zero
49.
A. optimistic
B. pessimistic
C. expected
D. most likely
Answer» A. optimistic
50.
A. processing time
B. waiting time
C. elapsed time
D. idle time
Answer» C. elapsed time
51.
A. invitees
B. players
C. contestants
D. clients
Answer» B. players
52.
A. income
B. profit
C. payoff
D. gains
Answer» C. payoff
53.
A. choices
B. strategies
C. options
D. actions
Answer» B. strategies
54.
A. centre point
B. saddle point
C. main point
D. equal point
Answer» B. saddle point
55.
A. 2
B. 3
C. 1
D. 4
Answer» B. 3
56.
A. parallel to x axis
B. parallel to y axis
C. passes through the origin
D. intersects both the axis
Answer» A. parallel to x axis
57.
A. qualitative
B. quantitative
C. judgmental
D. subjective
Answer» B. quantitative
58.
A. exact
B. earliest
C. latest
D. approximate
Answer» B. earliest
59.
A. alternate
B. feasible solution
C. critical
D. sub-critical
Answer» D. sub-critical
60.
A. degenerate
B. prohibited
C. infeasible
D. unbalanced
Answer» B. prohibited
61.
A. Research
B. Decision – Making
C. Operations
D. None of the above
Answer» B. Decision – Making
62.
A. J.F. McCloskey
B. F.N. Trefethen
C. P.F. Adams
D. Both A and B
Answer» D. Both A and B
63.
A. 1950
B. 1940
C. 1978
D. 1960
Answer» B. 1940
64.
A. Civil War
B. World War I
C. World War II
D. Industrial Revolution
Answer» C. World War II
65.
A. Battle field
B. Fighting
C. War
D. Both A and B
Answer» D. Both A and B
66.
A. Morse and Kimball (1946)
B. P.M.S. Blackett (1948)
C. E.L. Arnoff and M.J. Netzorg
D. None of the above
Answer» A. Morse and Kimball (1946)
67.
A. E.L. Arnoff
B. P.M.S. Blackett
C. H.M. Wagner
D. None of the above
Answer» C. H.M. Wagner
68.
A. C. Kitte
B. H.M. Wagner
C. E.L. Arnoff
D. None of the above
Answer» A. C. Kitte
69.
A. Scientists
B. Mathematicians
C. Academics
D. All of the above
Answer» A. Scientists
70.
A. Economists
B. Administrators
C. Statisticians and Technicians
D. All of the above
Answer» D. All of the above
71.
A. System Orientation
B. System Approach
C. Interdisciplinary Team Approach
D. none
Answer» D. none
72.
A. Answers
B. Solutions
C. Both A and B
D. Decisions
Answer» C. Both A and B
73.
A. Quality
B. Clarity
C. Look
D. None of the above
Answer» A. Quality
74.
A. Scientific
B. Systematic
C. Both A and B
D. Statistical
Answer» C. Both A and B
75.
A. Two or more
B. One or more
C. Three or more
D. Only One
Answer» B. One or more
76.
A. Conducting experiments on it
B. Mathematical analysis
C. Both A and B
D. Diversified Techniques
Answer» C. Both A and B
77.
A. Policies
B. Actions
C. Both A and B
D. None of the above
Answer» C. Both A and B
78.
A. Science
B. Art
C. Mathematics
D. Both A and B
Answer» D. Both A and B
79.
A. Scientific Models
B. Algorithms
C. Mathematical Models
D. None of the above
Answer» C. Mathematical Models
80.
A. Quailing Theory
B. Waiting Line
C. Both A and B
D. Linear Programming
Answer» D. Linear Programming
81.
A. Inventory Control
B. Inventory Capacity
C. Inventory Planning
D. None of the above
Answer» C. Inventory Planning
82.
A. Inventory Control
B. Inventory
C. Inventory Planning
D. None of the above
Answer» B. Inventory
83.
A. Game Theory
B. Network Analysis
C. Decision Theory
D. None of the above
Answer» C. Decision Theory
84.
A. Game Theory
B. Network Analysis
C. Decision Theory
D. None of the above
Answer» B. Network Analysis
85.
A. Simulation
B. Integrated Production Models
C. Inventory Control
D. Game Theory
Answer» A. Simulation
86.
A. Search Theory
B. Theory of replacement
C. Probabilistic Programming
D. None of the above
Answer» B. Theory of replacement
87.
A. Probabilistic Programming
B. Stochastic Programming
C. Both A and B
D. Linear Programming
Answer» C. Both A and B
88.
A. Programme Evaluation
B. Review Technique (PERT)
C. Both A and B
D. Deployment of resources
Answer» C. Both A and B
89.
A. Schedule
B. Product Mix
C. Both A and B
D. Servicing Cost
Answer» C. Both A and B
90.
A. Men and Machine
B. Money
C. Material and Time
D. All of the above
Answer» D. All of the above
91.
A. Three
B. Four
C. Five
D. Two
Answer» A. Three
92.
A. Sequencing
B. Allocation Models
C. Queuing Theory
D. Decision Theory
Answer» B. Allocation Models
93.
A. Linear Programming Technique
B. Non – Linear Programming Technique
C. Both A and B
D. None of the above
Answer» C. Both A and B
94.
A. Deterministic Models
B. Probabilistic Models
C. Both A and B
D. None of the above
Answer» A. Deterministic Models
95.
A. Deterministic Models
B. Probabilistic Models
C. Both A and B
D. None of the above
Answer» B. Probabilistic Models
96.
A. Iconic Models
B. Analogue Models
C. Symbolic Models
D. None of the above
Answer» A. Iconic Models
97.
A. Optimum
B. Perfect
C. Degenerate
D. None of the above
Answer» A. Optimum
98.
A. Research
B. Operation
C. Both A and B
D. None of the above
Answer» B. Operation
99.
A. Decision Theory
B. Simulation
C. Game Theory
D. None of the above
Answer» B. Simulation
100.
A. Queuing Theory
B. Decision Theory
C. Both A and B
D. None of the above
Answer» A. Queuing Theory

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  • Question and answers in Operations Research,
  • Operations Research multiple choice questions and answers,
  • Operations Research Important MCQs,
  • Solved MCQs for Operations Research,
  • Operations Research MCQs with answers PDF download

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Excel Practice Exercises PDF with Answers

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To solve the following exercises, you will need to know about the SUM , AVERAGE , IF , VLOOKUP , INDEX , MATCH , ROUNDUP , UNIQUE , COUNTIF , LEFT , SEARCH , MID , RIGHT , LEN , FIND , SUBSTITUTE , AND , and SUMIF functions and the Data Bars feature of Excel. You can use Excel 2010 or later, except for the UNIQUE function, which is only available in Excel 2021 .

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Problem Overview

Here is a snapshot of the first two problems. The solutions to all problems are given in a separate sheet.

assignment problem questions and answers pdf

  • Exercise 01 – Class Performance Evaluation . You will find these values –
  • The total number for each student,
  • Their average on those subjects,
  • Based on the average score, you will return a GPA. For GPA calculation, less than 60 is B and higher is A .
  • You need to find the employee salary in the lookup table on the right side.
  • Exercise 03 – Lookup Values (Any Direction) .
  • Here your task is the same as the second task. However, this time the lookup range is on the right side. Therefore, you cannot use the VLOOKUP function here.
  • You will need to round the sales generated values in this exercise.
  • You will need to add the first name and last name.
  • Your task is to create a Data Bar for the salary values and hide the salary values.
  • Firstly, you need to find the unique values in a list of names.
  • Then, you will find how many times that value occurred in that lis
  • You need to separate the three parts of a name from a given list.
  • You will need to find the total sales for a particular country.
  • Your objective is to ensure that users cannot type less than 0 in a column.
  • Your target is to determine whether a date is between two dates or not.

Here is a screenshot of the solutions to the first two problems.

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IMAGES

  1. Individual Assignment Project Management (ITPM

    assignment problem questions and answers pdf

  2. (PDF) Teaching Assignment Problem Solver

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  3. SOLUTION: Worked examples on indices with questions and answers pt 1

    assignment problem questions and answers pdf

  4. How To Solve A Problem On A Case Study Question

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  5. Basic Accounting Problems

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  6. (PDF) Fuzzy Assignment problems

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COMMENTS

  1. PDF UNIT 5 ASSIGNMENT PROBLEMS

    e minimisation problem.3. The assignment problem wherein the number of rows is not equal to the number of columns is said t. be an unbalanced problem. Such a problem is handled by introducing dummy row(s) if the number of rows is less than the number of columns and dummy column(s) if the number of columns is le.

  2. PDF ASSIGNMENT PROBLEM

    introduction to assignment problem matrix form of assignenmt problem mathematical formulation of an assignment problem difference between transportation problem and assigment problem assigment algorithm (or) hungarian method example of assigment problems question to answer mcq questions with answer k.bharathi,scsvmv. assignment problem 2 / 55

  3. Solution of assignment problems (Hungarian Method)

    Solve the following assignment problem. Solution: Since the number of columns is less than the number of rows, given assignment problem is unbalanced one. To balance it , introduce a dummy column with all the entries zero. The revised assignment problem is. Here only 3 tasks can be assigned to 3 men.

  4. PDF Unit 4: ASSIGNMENT PROBLEM

    Problem 4. Job shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. Table summarizes the cost of the assignments. Worker1 cannot do job3, and worker 3 cannot do job 4. Determine the optimal assignment using the Hungarian method. Job.

  5. PDF Chapter8 ASSIGNMENT PROBLEM

    8.1 Introduction. An assignment problem is a particular case of transportation problem in which a number of operations are to be assigned to an equal number of operators, where each operator performs only one operation. The objective is to minimize overall cost or to maximize the overall profit for a given assignment schedule.

  6. PDF Hungarian method for assignment problem

    Hungarian method for assignment problem Step 1. Subtract the entries of each row by the row minimum. Step 2. Subtract the entries of each column by the column minimum. Step 3. Make an assignment to the zero entries in the resulting matrix. A = M 17 10 15 17 18 M 6 10 20 12 5 M 14 19 12 11 15 M 7 16 21 18 6 M −10

  7. PDF Module 4: Transportation Problem and Assignment problem

    Module 4: Transportation Problem and Assignment problem. Transportation problem is a special kind of Linear Programming Problem (LPP) in which goods are transported from a set of sources to a set of destinations subject to the supply and demand of the sources and destination respectively such that the total cost of transportation is minimized.

  8. Solved Assignment Problems

    Program. An algorithm is defined as sequence of steps to solve a problem (task). A flowchart is pictorial (graphical) representation of an algorithm. Set of instructions. Instruction is a command to the computer to do some task. Algorithm can also be defined as a plan to solve a problem and represents its logic. A picture is worth of 1000 words.

  9. PDF 17 The Assignment Problem

    Exercise 17 shows that the number of iterations is O(n2). To compare the Hungarian method to the exhaustive search method mentioned above, suppose that each iteration can be performed in one second. Then an assignment prob-lem with n = 30 can be solved in at most 302 = 900 seconds, or 15 minutes of computer time.

  10. PDF Unit 1 Lesson 20 :Solving Assignment problem

    • Solve the assignment problem using Hungarian method. • Analyze special cases in assignment problems. Writing of an assignment problem as a Linear programming problem Example 1. Three men are to to be given 3 jobs and it is assumed that a person is fully capable of doing a job independently. The following

  11. PDF The Assignment Problem and the Hungarian Method

    Step 3. Draw lines through appropriate rows and columns so that all the zero entries of the cost matrix are covered and the minimum number of such lines is used. Step 4. Test for Optimality: (i) If the minimum number of covering lines is n, an optimal assignment of zeros is possible and we are finished.

  12. PDF 4 UNIT FOUR: Transportation and Assignment problems

    %PDF-1.6 %âãÏÓ 119 0 obj > endobj xref 119 26 0000000016 00000 n 0000001289 00000 n 0000001354 00000 n 0000001501 00000 n 0000001610 00000 n 0000003256 00000 n 0000003386 00000 n 0000003518 00000 n 0000003650 00000 n 0000003781 00000 n 0000003913 00000 n 0000030185 00000 n 0000030721 00000 n 0000031377 00000 n 0000057044 00000 n 0000057562 00000 n 0000058230 00000 n 0000080832 00000 n ...

  13. PDF The Hungarian method for the assignment problem

    THE HUNGARIAN METHOD FOR THE ASSIGNMENT. PROBLEM'. H. W. Kuhn. Bryn Y a w College. Assuming that numerical scores are available for the perform- ance of each of n persons on each of n jobs, the "assignment problem" is the quest for an assignment of persons to jobs so that the sum of the. n scores so obtained is as large as possible.

  14. Assignments and Exams

    Assignment 9 (PDF) Assignment 10 (PDF) Assignment 11 (PDF) Assignment 12 (PDF) Midterm Exam (PDF) Final Assignment (PDF) Over 2,500 courses & materials. Freely sharing knowledge with learners and educators around the world. Learn more.

  15. ES-3: Lesson 9. SOLUTION OF ASSIGNMENT PROBLEM

    The assignment problem can be solved by the following four methods: a) Complete enumeration method. b) Simplex Method. c) Transportation method. d) Hungarian method. 9.2.1 Complete enumeration method. In this method, a list of all possible assignments among the given resources and activities is prepared.

  16. Exercise 10.2: Assignment problems(Hungarian Method)

    1. What is the Assignment problem? 2. Give mathematical form of assignment problem. 3. What is the difference between Assignment Problem and Transportation Problem? 4. Three jobs A, B and C one to be assigned to three machines U, V and W. The processing cost for each job machine combination is shown in the matrix given below.

  17. PDF Unpacking an Assignment Question & Planning for an Assignment

    Analysing an assignment question For every assignment you need to : • Understand the question • Brainstorm ideas • Read enough relevant, reliable information to answer the question properly. • Structure your assignment • Present your main ideas or arguments and • Support your main ideas or arguments • Edit your writing for coherence and unity • Proofread for grammar ...

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