$5\mathrm{.}1-19$

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Consider the three$-$variable linear programming problem shown in Fig. $5\mathrm{.}2.$

$5\mathrm{.}1-19($c$)$

Use the sets of defining equations of the CPF solutions $(4,2,4),(0,4,2),(2,4,0),$ and $(2,4,3),$ identify a true statement about the relationships between the CPF solutions.