Question

Use Theorem 1 to explain why no maxima or minima exist. Minimize f(x,y)=4y3xf(x, y)=4 y-3 x, subject to 2x+5y=3.

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Minimize f(x,y)=4y3xf(x,y)=4y-3x subject to 2x+5y=32x+5y3=02x+5y=3\Rightarrow 2x+5y-3=0.

Form the function FF;

F(x,y,λ)=4y3x+λ(2x+5y3)F(x,y,\lambda)=4y-3x+\lambda(2x+5y-3)

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