Question: Show that the function f(x,y) = 8x y subject to 3x -y =9 does not have an absolute minimum or maximum. (Hint: Solve the constraint

Show that the function f(x,y) = 8x y subject to 3x -y =9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. y =/ Substitute into f. f(x.y) = Determine the behavior of f as x approaches - co. lim f(x.y) = X - 00 Determine the behavior of f as x approaches co. lim f(x.y) = X-+00 Does this show that f does not have an absolute maximum or minimum? O Yes O No

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