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8. Consider the utility function u(x) - sin (x (a) Show that u(.) is quasi-concave but not concave on the domain X = [0, 27].

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8. Consider the utility function u(x) - sin (x (a) Show that u(.) is quasi-concave but not concave on the domain X = [0, 27]. (b) Show that u(.) is not quasi-concave on the domain X = [0, 47]. 2

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