Solving Linear Programming Problems Graphically

Solving Linear Programming Problems Graphically-72
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.

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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.

The third constraint establishes an upper bound for the manufacturing and daily sales of Product 1.

In addition, the non-negativity conditions for the decision variables are included.

Due to the quality of the sun and the region’s excellent climate, the entire production of Sauvignon Blanc and Chardonnay grapes can be sold.

You want to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Suppose that you have a budget of US,000 and an availability of 1,200 man-days during the planning horizon.In addition, the maximum amount of daily sales for the first product is estimated to be 200 units, without there being a maximum limit of daily sales for the second product.Formulate and solve graphically a Linear Programming model that will allow the company to maximize profits.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.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.Exercise #1: A workshop has three (3) types of machines A, B and C; it can manufacture two (2) products 1 and 2, and all products have to go to each machine and each one goes in the same order; First to the machine A, then to B and then to C.The following table shows: The constraints represent the number of hours available weekly for machines A, B and C, respectively, and also incorporate the non-negativity conditions.Joanne can carry not more than 3.6 kg of fruits home.a) Write 3 inequalities to represent the information given above.


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