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{"ops":[{"insert":"A) Prove and specify whether the following utility functions are convex or not (whether they\u00a0\nhave a diminishing marginal rate of substitution or not).\ni) U(x,y) = 3x + xy + 4y [2 Marks]\nii) U(x,y) = x2 + y2\n\u00a0[2 Marks]\niii) U(x,y) = (x2 + y2)0.5\n\u00a0[2 Marks]\niv) U(x,y) = x\u03b1 y\u03b2 where \u03b1&\u03b2>0[2Marks]\nv) U(x.y) = \u221a\ud835\udc99. \ud835\udc9a [2 Marks]\n"}]}
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