Linear Programming - Graphical Method
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Solve the following linear programming problem using the graphical method:
Minimize 3x+4y
Subject to:
x+3y >= 6
x+y >= 4
x,y >= 0
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Solution Summary
The graphical method of solving a linear programming problem in two variables is illustrated using a simple minimization problem with two constraints.
Solution Preview
Please see the attachment "Graph.png".
Minimize Z = 3x + 4y
Subject to:
x + 3y >= 6
x + y >= 4
x, y >= 0
First, plot the graph by sketching the lines x + 3y = 6, and x + y = 4 (in the first quadrant, since x, y >= 0).
An easy way to plot straight lines is by using their x and y intercepts. For the first line, x + 3y = 6, the x-intercept is 6 (obtained by equating y to 0) and the y-intercept is 2 (obtained by equating x to 0). So this line cuts the ...
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