(Answered) If u(*) is strictly quasiconcave, then x(p, w) is a demand function.If u(*) is strictly…

➤ How do continuity and monotonicity combine with strict quasiconcavity to guarantee existence and continuity of demand?
Continuity of u and local non-satiation ensure existence of a maximizer on the budget set. Strict quasiconcavity then provides uniqueness. If utility is continuous and the maximizer is unique, Berge’s maximum theorem implies the demand function varies continuously with prices and wealth, assuming solutions remain interior as parameters change.