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Unformatted text preview: circle. Otherwise, the region is called unbounded.
( 2x + 3y > 12
x 0, y 2 Notes remember that > is a dotted line
<- the split pea soup
green color Patrick Newberry Linear Programming November 5, 2012 6 / 14 Deﬁnitions Notes 8
>3x 2y 18
x + y 4 <this
x 0, y 0 controls the problem if you got rid of the above equation it would not
change the feasible set Patrick Newberry Linear Programming November 5, 2012 7 / 14 Maximums and Minimums Where is z = 2x + 5y maximized over the region below? Minimized?: Patrick Newberry Linear Programming November 5, 2012 Notes 8 / 14 Maximums and Minimums Notes Theorem (Corner Point Theorem)
If the feasible region is bounded, then the objective function has both a
maximum and a minimum value, and each occurs at one or more
If the feasible region is unbounded, then the objective function may or
may not have a maximum or minimum v...
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