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Consider a consumer's choice over consumption bundles, where each con- sumption bundle x is an n-vector with components consisting of real num- bers xi 2

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Consider a consumer's choice over consumption bundles, where each con- sumption bundle x is an n-vector with components consisting of real num- bers xi 2 0. Briefly explain: (a) what assumptions are usually required for a weak preference relation to be representable by a continuous utility function; 6 marks (b) what the meaning is of a quasiconcave utility function. 6 marks]

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