# Solving Linear Programming Problems Graphically In the business world, people would like to maximize profits and minimize loss; in production, people are interested in maximizing productivity and minimizing cost.However, there are constraints like the budget, number of workers, production capacity, space, etc.In these lessons, we will learn about linear programming and how to use linear programming to solve word problems.

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The following videos gives examples of linear programming problems and how to test the vertices.

The Graphical Method (graphic solving) is an excellent alternative for the representation and solving of Linear Programming models that have two decision variables.

Formulate and solve graphically a Linear Programming model for this problem.

Clearly outline the domain of feasible solutions and the process used to find the optimal solution and the optimal value.

Linear programming deals with this type of problems using inequalities and graphical solution method. She must buy at least 5 oranges and the number of oranges must be less than twice the number of peaches.

An orange weighs 150 grams and a peach weighs 100 grams.Given the current availability of staff in the company, each day there is at most a total of 90 hours available for assembly and 80 hours for quality control.The first product described has a market value (sale price) of US.0 per unit.Choose the scales so that the feasible region is shown fully within the grid.(if necessary, draft it out on a graph paper first.) Shade out all the unwanted regions and label the required region It also possible to test the vertices of the feasible region to find the minimum or maximum values, instead of using the linear objective function.Decision Variables: The first constraint represents the daily assembly time constraints.The second constraint is the availability of time for quality control (also daily).For the graphical solution of this model we will use the Graphic Linear Optimizer (GLP) software. The optimal solution is and with an optimal value that represents the workshop’s profit.Exercise #2: A winemaking company has recently acquired a 110 hectares piece of land.For this purpose there are computational tools that assist in applying the graphical model, like TORA, IORTutorial and Geogebra.Within this context we will present a series of Linear Programming exercises that have been solved using the graphical method.

## Comments Solving Linear Programming Problems Graphically

• ###### Graphical Method of Solving Linear Programming Problems

Aug 12, 2019. Learn about the graphical method of solving Linear Programming Problems; with an example of solution of linear equation in two variables.…

• ###### Solving Linear Programs - MIT

Simplex method, proceeds by moving from one feasible solution to another. In order to reduce a general linear-programming problem to canonical form, it is. c Solve geometrically and also trace the simplex procedure steps graphically.…

• ###### Linear Programming solutions, examples, videos

How to use linear programming to solve word problems, Linear Programming. with this type of problems using inequalities and graphical solution method.…

• ###### Non-graphical method of solving linear programming - Mathematics.

Since the OP asks for a non-graphical method, I'll give a pure algebraic one making use of u=x+y, which transform the problem to. maxu such.…

• ###### PDF Linear Programming Graphical Method - ResearchGate

Mar 14, 2016. There are three methods of solving graphical problem. They are. area of feasible solution for a linear programming problem is a convex set.…

• ###### Solving linear programming problem by graphical method

Specifically, MP is used to formulate constrained optimization problems Nocedal & Wright, 2006a. The MP methodology is fundamental to operations.…

• ###### Applicable Mathematics/Linear Programming and Graphical.

That value is going to satisfy a known set of conditions constraints. Constraints are the inequalities in the linear programming problem. Their solution is graphed.…

• ###### Linear programming solution examples

Formulate the problem of deciding how much of each product to make in the current week as a linear program. Solve this linear program graphically.…