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Walrasian demand with a twist of Leontief function

$u(x_1,x_2)=\min(x_1,x_2)+5\max(x_1,x_2)=\max(x_1+5x_2,5x_1+x_2)$ which is not quasi-concave, but is an increasing quasi-convex function. So, demand will be at one of the two end-points of the budget ...
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