The preferences of a consumer with utility function U (x1, x2) = (1+x1)(1+x2) are convex. [Note: You may assume that consumption is confined to the non-negative quadrant of R², i.e. x1 >0 and x2 > 0].

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A: U (x1 , x2 ) = α ln(x1) + (1 − α) ln(x2) α=0.25 U (x1 , x2 ) = 0.25 ln(x1) + 0.75 ln(x2)

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A: U (x1 , x2 ) = α ln(x1) + (1 − α) ln(x2) α=0.25 U (x1 , x2 ) = 0.25 ln(x1) + 0.75 ln(x2)