6a4e08…: “Without the red quadrilateral”

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Find the absolute maximum and minimum of $F(x,y) = 3y-2x^2$ constrained to the closed set bounded by the parabola $y=x^2+x-1$ and the line $y=x$ . The critical point within (including the boundary) this closed set is: $\vec {c} = \vector {\answer {3/4},\answer {3/4}}\\$

The absolute maximum of $F$ when constrained to the closed set is: $F\left (\answer {3/4},\answer {3/4}\right ) = \answer {9/8}$ The absolute minimum of $F$ when constrained to the closed set is: $F\left (\answer {-1},\answer {-1}\right ) = \answer {-5}$