Showing posts with label Linear Functions Concepts. Show all posts
Showing posts with label Linear Functions Concepts. Show all posts

Friday, July 16, 2010

Study on Linear Function Concepts.

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In this lesson let me take you through basically on Linear Function Concepts.
Objective Function: The Objective Function is a linear function of variables which is to be optimized i.e., maximized or minimized. e.g., profit function, cost function etc. The objective function may be expressed as a linear expression.
Constraints: A linear equation represents a straight line. Limited time, labor etc. may be expressed as linear in equations or equations and are called constraints.
Optimization: A decision which is considered the best one, taking into consideration all the circumstances is called an optimal decision. The process of getting the best possible outcome is called optimization.
Solution of a LPP: Linear Function is a set of values of the variables x1, x2, �.xn which satisfy all the constraints is called the solution of the LPP..
Feasible Solution: A set of values of the variables x1, x2, x3,.,xn which satisfy all the constraints and also the non-negativity conditions is called the feasible solution of the LPP.
Optimal Solution: The feasible solution, which optimizes (i.e., maximizes or minimizes as the case may be) the objective function is called the optimal solution. Important terms Convex Region and Non-convex Sets
Keep reading and may be in the next lesson let me help you on Linear Functions and Slope Forms.