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Mac Rowe doesn't sweat the petty stuff. In fact, he just cannot detect small differences. He consumes two goods, x and y. He prefers the bundle (x,y) to the bundle (x',y') if and only if (xy - x'y' > 1) . Otherwise he is indifferent between the two bundles.
a. Show that the relation of indifference is not transitive for Mac. (Hint: Give an numerical example.)
b. Show that the preferred relation is transitive for Mac.
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Suppose there are n identical firms in a market in long run. Each firms cost function is given by C=32+.5q^2, where q is the amount that an individual firm produces. This means that an individual firms marginal cost is given by MC=q.
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