2. Find the solution of the following constrained maximization problems. (a) max_{x,y} {f (x,y) = xy : 2x + 4y = 8} . (b) max_{x,y} {f (x,y) = x + y : 2x + 4y = 8} . (c) max_{x,y} {f (x,y) = min {x,y} : 2x + 4y = 12} .
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