What is the basic assumption of linear programming?

Proportionality: The basic assumption underlying the linear programming is that any change in the constraint inequalities will have a proportional change in the objective function.

What are the four assumptions of linear programming?

The use of linear functions implies the following assumptions about the LP model:
  • Proportionality. The contribution of any decision variable to the objective function is proportional to its value. …
  • Additivity. …
  • Divisibility. …
  • Certainty.

What is linear programming what are its major assumptions and characteristics?

Characteristics of Linear Programming

Linearity – The relationship between two or more variables in the function should be linear. Finiteness – There always should be finite and infinite input and output numbers. If the function has infinite factors, the optimal solution will not be feasible.

What are the three underlying assumptions in a basic linear programming problem?

Such as profit per unit of product, availability of material and labor per unit, requirement of material and labor per unit are known and is given in the linear programming problem.

What are the assumptions of linear regression?

There are four assumptions associated with a linear regression model: Linearity: The relationship between X and the mean of Y is linear. Homoscedasticity: The variance of residual is the same for any value of X. Independence: Observations are independent of each other.

What are the features of linear programming?

Answer: The characteristics of linear programming are: objective function, constraints, non-negativity, linearity, and finiteness.

Which of the following is an assumption of LPP Mcq?

……………….. is considered as the pioneer of Linear Programming Technique.
…
Q. Which of the followings is an assumption of Linear Programming Technique?
B. Additivity
C. Proportionality
D. All of the above
Answer» d. All of the above

What is divisibility assumption in linear programming?

Divisibility Assumption The divisibility assumption requires that each decision variable be permitted to assume fractional values. For example, this assumption implies it is acceptable to produce a fractional number of trains.

What is linear in linear programming?

Linearity – The relationship between two or more variables in the function must be linear. It means that the degree of the variable is one. Finiteness – There should be finite and infinite input and output numbers. In case, if the function has infinite factors, the optimal solution is not feasible.

Which of the following is not the characteristics of linear programming?

Solution(By Examveda Team)

The problem must be of minimization type is not a characteristic of the LP. The objective of linear programming is to: “maximize or to minimize some numerical value.

What is purpose of linear programming?

Linear programming is used for obtaining the most optimal solution for a problem with given constraints. In linear programming, we formulate our real-life problem into a mathematical model. It involves an objective function, linear inequalities with subject to constraints.

What is Z in LPP?

12.1. 4 Decision Variables In the objective function Z = ax + by, x and y are called decision variables. 12.1. 5 Constraints The linear inequalities or restrictions on the variables of an LPP are called constraints. The conditions x ≥0, y ≥0 are called non-negative constraints.

Which is not the part of linear programming problem?

The term concave region is not used in a linear programming problem.

Which of the following is not correct about LPP?

MCQ 1. Which of the following is not correct about LPP? (a) All constraints must be linear relationship. (b) Objective function must be linear (c) All the constraints and decision variables must be of either ≤ or ≥ type. (d) All decision variables must be non-negative.

Which of the following is not associated with LPP?

Answer:(b) uncertainty (IMK) is not associated with LPP.

Which of the following types of problems Cannot be solved by linear programming methods?

Traffic signal control types of problems cannot be solved by linear programming methods, because there is no need for optimization in such problems. Explaination / Solution: Let R be the feasible region for a linear programming problem, and let Z = ax + by be the objective function.

What is an optimal solution in linear programming?

Definition: An optimal solution to a linear program is the feasible solution with the largest objective function value (for a maximization problem).

Which of the following Cannot be considered as the objective function of a linear programming problem?

Option Minimize z = 5x + 7y is the only option that is linear.

Is the constraints in a linear programming problem are changed?

Solution. The optimisation of the objective function of a LPP is governed by the constraints. Therefore, if the constraints in a linear programming problem are changed, then the problem needs to be re-evaluated.

What are variables in linear programming?

The variables of a linear program take values from some continuous range; the objective and constraints must use only linear functions of the vari- ables. … Much of the material on variables, objectives and constraints is basic to other AMPL models as well, and will be used in later chapters.