Linear Programming Problem — Flashcards
CBSE · Class 12 · Applied Mathematics
22 flashcards for Linear Programming Problem (CBSE Class 12 Applied Mathematics) to test yourself on key terms and facts.
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What is a Linear Programming Problem (LPP)?
Answer
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…
What are the three main components of a Linear Programming Problem?
Answer
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 = …
Define Decision Variables in LPP.
Answer
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…
What is an Objective Function in LPP?
Answer
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…
What are constraints in LPP and what are non-negativity restrictions?
Answer
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…
List the four basic assumptions of Linear Programming.
Answer
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…
What are the main types of Linear Programming Problems?
Answer
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…
Define Feasible Solution in LPP.
Answer
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…
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