Generally a linear programming problem (LPP) consists of linear constraints and objective function, which is to be optimized. In this regard, initially two variable linear programming models are considered to understand the problem and investigated through the graphical method. The beauty of the ...
Lec-3. Linear Programming Solutions- Graphical MethodsNPTELNptel
The viable zone (or solution region) of a linear programming problem is the common region given by all the constraints, including non-negative constraints \(x,\,y \ge 0\). The task is achievable in the region \(ABCDEF\) (shaded) in the figure below. A region that is not feasible is...
Linear programming problems with bounded (see below), nonempty feasible regions always have optimal solutions. Example The linear programming problem above has the following feasible region with four corner points marked with dots: Maximize p=x+3yp=x+3y Objective function subject to x+y≤50x+y≤...
Linear programming graphical methodThis method is suitable for problems with only two decision variables. It involves plotting the constraints on a graph and visually identifying the optimal solution.Example:Maximize Z = 3x + 2ySubject to:2x + y ≤ 10...
The linear programming problem Maximise Z=x1+x2 Subject to constraints x1+2x2≤2000x1+x2≤1500x2≤600x1≥0 has Ano feasible solution Bunique optimal solution Ca finite number of optimal solutions Dinfinite number of optimal solutionsSubmit By graphical method, the solutions of linear programmi...
S. Witchakul, P. Sudasna-na-Ayudthya, P. Charnsethikul and K. Mathur. 2007. A Graphical Based Method for a Class of One-Stage Bounded Variables and Single Constrained Linear Programming Problem, American Journal of Applied Sciences, Vol. 4, pp. 1040-1044....
Linear Programming (LP) technique is one of the important decision making tools in business operations that is used to optimize a solution within the limitations of resources available. Graphical Method and Simplex Method are generally used to solve LP problems. Though various computer applications ...
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We can find the extremes (maximum and minimum) of a function subject to linear constraints through linear programming methods such as the graphical... Learn more about this topic: Maximum & Minimum Values on a Graph | Definition & How to Find ...