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find the point that maximizes the objective functions p=2x+5y using the constraints x>=0,y>=0 y>=10-2xy<=7-1/2x

Answer :

We have that:

[tex]x=\frac{-5+\sqrt[]{25-4\cdot3\cdot-2}}{6}=\frac{-5+\sqrt[]{49}}{6}=\frac{-5+7}{6}=\frac{2}{6}=\frac{1}{3}[/tex]

and

[tex]x=\frac{-5-7}{6}=\frac{-12}{6}=-2[/tex]