Question
Consider an economy with two people, Bunter and Quelch and two goods: coffee and milk. Bunter's utility over these goods is given by u B
Consider an economy with two people, Bunter and Quelch and two goods: coffee and milk. Bunter's utility over these goods is given by u B (x B c , xB m) = (x B c ) 1 2 (x B m) 1 2 . Here x B c denotes the amount of coffee consumed by Bunter and x B m is the amount of milk consumed by him. Bunter is endowed with 3 units of coffee and 4 units of milk. Quelch, on the other hand, has a utility function given by: u Q(x Q c , xQ m) = x Q c . Here x Q c is the amount of coffee consumed by Quelch and x Q m is the amount of milk consumed by him. Quelch is endowed with 2 units of coffee and 1 unit of milk. Throughout this problem, treat milk as the numeraire, and set pm = 1. 1. Is the allocation where Bunter and Quelch each consume their own endowments, Pareto optimal?
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