Joe has a utility function over hamburgers and hot dogs given by U = x + y

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Joe has a utility function over hamburgers and hot dogs given by U = x + √y , where x is the quantity of hamburgers and y is the quantity of hot dogs. The marginal utilities for this utility function are MUx = 1 and MUy = 1/(2√y ). Does this utility function have the property that MRSx,y is diminishing?
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Microeconomics

ISBN: 978-0073375854

2nd edition

Authors: Douglas Bernheim, Michael Whinston

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