Rational Constrained choice (x,*, x2*)satisfies two conditions (a the budget is exhausted; p1X1 p2X2 m b tangency: the slope of the budget constraint,-p,p2, and the slope of the indifference curve containing(,*, x2*) are equal at (x, * X2*)Rational Constrained Choice (x1 *,x2 *) satisfies two conditions: (a) the budget is exhausted; p1x1 * + p2x2 * = m (b) tangency: the slope of the budget constraint, -p1 /p2 , and the slope of the indifference curve containing (x1 *,x2 *) are equal at (x1 *,x2 *)