In this Post you will Get **Linear Programming Question Bank** for Class 12 and **B.COM 2nd and 4th SEM CBCS Pattern.Â **This Question Bank is prepared keeping in view various exams and universities especially all those universities which follow **CBCS Pattern.** Our main focus on

– Dibrugarh University

– Gauhati University

– Assam University

– Kolkata University

– IGNOU

This **Linear Programming QuestionÂ Bank** also includes Questions asked in above mentioned universities exams.

**Introduction to LPP (Linear Programming)**

In a decision-making, model formulation is important because it represents the essence of business decision problem. The term formulation is used to mean the process of converting the verbal description and numerical data into mathematical expressions which represents the relevant relationship among decision factors, objectives and restrictions on the use of resources.

Linear Programming (LP) is a particular type of technique used for economic allocation of ‘scarce’ or ‘limited’ resources, such as labour, material, machine, time, warehouse space, capital, energy, etc. to several competing activities, such as products, services, jobs, new equipment, projects, etc. on the basis of a given criterion of optimally. The phrase scarce resources mean resources that are not in unlimited in availability during the planning period. The criterion of optimality, generally is either performance, return on investment, profit, cost, utilily, time, distance, etc.

Here, the word linear refers to linear relationship among variables in a model. Thus, a given change in one variable will always cause a resulting proportional change in another variable. For example, doubling the investment on a certain project will exactly double the rate of return. The word programming refers to modelling and solving a problem mathematically that involves the economic allocation of limited resources by choosing a particular course of action or strategy among various alternative strategies to achieve the desired objective.

**George B Dantzing** while working with US Air Force during World War II, developed this technique, primarily for solving military logistics problems. But now, it is being used extensively in all functional areas of management, hospitals, airlines, agriculture, military operations, oil refining, education, energy planning, pollution control, transportation planning and scheduling, research and development, etc.

## Linear Programming Question Bank

## [For BCOM Exam CBCS Pattern]

**Theory**

1. What do you mean by LPP?

2. Write the assumptions of an LPP.

3. Discuss about the limitations of LPP.

4. Define a surplus variable and a surplus variable.

5. Write the usefulness of LPP in solving business problems.

6. Write the three theorems of LPP.

7. Write the general form of an LPP.

8. Who had developed LPP?

9. Write the mathematical model of LPP.

10.Explain various special cases in Graphical method of linear programming

– Unbounded solution

– Multiple optimal solution.

– Infeasible Solution

– Degenerate solution

11. Write a short note on the application of LPP.

12. What do you mean by duality in LPP? What are the uses of duality in LPP?

13. When is Simplex method used to solve an LPP?

**Practical Problems:**

1. Formulation

2. Graphical Method –

– Unbounded solution

– Multiple optimal solution.

– Infeasible Solution

– Degenerate solution

**ALSO READ: BUSINESS MATHEMATICS QUESTION BANK**

**UNIT 1: MATRIX AND DETERMINANTS**

**UNIT 2: FUNCTIONS, LIMIT AND CONTINUITY QUESTION BANK**

**UNIT 4: SIMPLE INTEREST, COMPOUND INTEREST AND ANNUITIES**

**UNIT 5: LINEAR PROGRAMMING**

– LINEAR PROGRAMMING QUESTION BANK

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