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This notebook assists the user in finding the solution to the linear programming problems presented in "Graphical Solutions to Linear Programming Problems" by Olivia M. Carducci. It is assumed that the user is familiar with linear programming.
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{Graphics["<<>>"], Graphics["<<>>"], Graphics["<<>>"],
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;[o]
{-Graphics-, -Graphics-, -Graphics-, -Graphics-,
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:[font = text; inactive; preserveAspect]
To find the optimal solution, select the table generated by the above command and animate it.
:[font = text; inactive; preserveAspect]
The following commands develop the three variable example.
:[font = input; preserveAspect; startGroup]
region1 = Plot3D[{500/9 - x/3 - 5y/9, Hue[0.67]},
{x,0,100},{y,0,100}]
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.53427 .46211 m .56934 .48847 L .60397 .47264 L p
.02 0 1 r
F P
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P
p
.002 w
.35548 .39981 m .37968 .42875 L .42513 .43244 L p
1 0 0 r
F P
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P
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.002 w
.35548 .45547 m .37968 .48219 L .42513 .46622 L p
.02 0 1 r
F P
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P
p
.002 w
.42513 .62837 m .45432 .66409 L .49639 .62132 L p
.02 1 0 r
F P
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.45432 .66409 m .42513 .62837 L .37968 .67101 L p
.02 1 0 r
F P
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P
p
.002 w
.42513 .43244 m .45432 .46394 L .49639 .46582 L p
1 0 0 r
F P
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P
p
.002 w
.45432 .46394 m .42513 .43244 L .37968 .42875 L p
1 0 0 r
F P
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P
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.002 w
.42513 .60135 m .45432 .60819 L .49639 .56152 L p
1 0