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Consider a simple exchange economy with two agents and two goods. Suppose Kyle (k) has 3 quinces (q) and 12 watermelons (w). Brock (b) has

Consider a simple exchange economy with two agents and two goods. Suppose Kyle (k) has 3 quinces (q) and 12 watermelons (w). Brock (b) has 6 quinces (q) and 6 watermelons (w). Kyle's utility function isUk(qk,wk)=qkwk

, and Brock's utility function isUb(qb,wb)=qbwb

, whereqi

is the number of quinces for Kyle (i=k) and Brock (i=b), andwi

is the number of watermelons for Kyle (i=k) and Brock (i=b). Let watermelons be the numeraire good. What is Brock's consumption of quinces in the competitive equilibrium?

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