Silirts (B0 A consumption bundle is a pair (r1, x2), where r, > 0 is the quantity of cigars and a s the quantity of sleeveless shirts (for simplicity, assume these goods can be measu rbitrary-not just integer-quantities). a) Suppose Kreese's preferences are monotone (more is better) and that he is willing t up one sleeveless shirt in exchange for three cigars. Find a utility function represe his preferences. b) Through trial and error, Kreese has discovered that there are no benefits to sm more than 10 cigars per day. When smoking less than 10 cigars he is still willi exchange one shirt for three cigars, but if he smokes more than ten cigars, there additional benefit and he only gains by owning more shirts. Find a utility fum

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