# Linear Programming Solved Problems

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.

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## Linear Programming Solved Problems

Find x and y so that P = 2 x 3 y is maximum under the conditions $\begin \ x \ge 0 \ \ x \ge 0 \ \ x y \le 2000 \ \ 8 x 14 y \le 20,000 \ \end$ .A farmer plans to mix two types of food to make a mix of low cost feed for the animals in his farm.A bag of food A costs and contains 40 units of proteins, 20 units of minerals and 10 units of vitamins.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.The following videos gives examples of linear programming problems and how to test the vertices.Several word problems and applications related to linear programming are presented along with their solutions and detailed explanations.A bag of food B costs and contains 30 units of proteins, 20 units of minerals and 30 units of vitamins.How many bags of food A and B should the consumed by the animals each day in order to meet the minimum daily requirements of 150 units of proteins, 90 units of minerals and 60 units of vitamins at a minimum cost?Vertices of the solution set: A at (0 , 0) B at (0 , 1429) C at (1333 , 667) D at (2000 , 0) Calculate the total profit P at each vertex P(A) = 2 (0) 3 ()) = 0 P(B) = 2 (0) 3 (1429) = 4287 P(C) = 2 (1333) 3 (667) = 4667 P(D) = 2(2000) 3(0) = 4000 The maximum profit is at vertex C with x = 1333 and y = 667.Hence the store owner has to have 1333 toys of type A and 667 toys of type B in order to maximize his profit. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish.

## Comments Linear Programming Solved Problems

• ###### Linear programming solution examples

Linear programming solution examples. Linear programming example 1997 UG exam. A company makes two products X and Y using two machines A and B.…

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

It solves any linear program; it detects redundant constraints in the problem. will see later, however, any linear programming problem can be transformed so.…

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

How to use linear programming to solve word problems, Linear Programming - Solve Word Problems, examples and step by step solutions, Solving for.…

• ###### Linear Programming Word Problems and Applications

Tutorial on solving linear programming word problems and applications with two variables. Examples and word problems with detailed solutions are presented.…

• ###### Linear Programming - UCLA Math

Of the constraint set, but then the maximum occurs at a corner point as well. Not all linear programming problems are so easily solved. There may be many vari-.…

• ###### How to Solve a Linear Programming Problem Using the.

Apr 10, 2014. In this lesson we learn how to solve a linear programming problem using the graphical method with an example. We also see an example for.…

• ###### Introduction to Linear Programming and Optimization in.

Feb 28, 2017. Linear programming LP is one of the simplest ways to perform optimization. It helps you solve some very complex optimization problems by.…