Linear Programming Problem

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A Linear Programming Problem is a mathematical optimization technique that deals with maximizing or minimizing a linear objective function subject to linear constraints (inequalities or equations). It

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The three main components of LPP are: 1. Decision Variables - Variables representing quantities to be determined (x, y, etc.) 2. Objective Function - Linear function to be maximized or minimized (Z =

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Decision variables are the unknown quantities that need to be determined in an LPP. They represent the activities or limitations competing for available resources. These variables are continuous, cont

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The objective function is a linear function that represents the goal to be achieved - either maximization (profit, production) or minimization (cost, time). It is expressed as Z = ax + by, where a and

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Constraints are limitations on resources expressed as linear inequalities or equations (e.g., 2x + 3y ≤ 100). They represent restrictions like limited raw materials, labor hours, or storage space. Non

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The four basic assumptions of LPP are: 1. Certainty - All parameters are known and fixed 2. Divisibility (Continuity) - Variables can take fractional values 3. Proportionality - Each variable's contri

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The main types of LPP are: 1. Manufacturing Problem - Production optimization with resource constraints 2. Diet Problem - Nutritional requirements at minimum cost 3. Transportation Problem - Minimizin

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A feasible solution is a set of values for decision variables that satisfies all the constraints of the LPP, including non-negativity restrictions. Every point in the feasible region represents a feas