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Question 2 Let U ($1,372) denote the utility of a hypothetical consumer for a bundle ($1,552). Suppose that the price per unit, p1, of good

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Question 2 Let U ($1,372) denote the utility of a hypothetical consumer for a bundle ($1,552). Suppose that the price per unit, p1, of good 1 is $2 while the price per unit of good 2, 192 is $4. Our hypothetical consumer has a budget of $10. For each of the specifications of U(x1, X2) given below, determine if the utility function is quasi-concave or not by sketching the upper contour set (be sure to label all axes). Determine also the corresponding utility maximizing bundle subject to the budget constraint. 1. U(X1, X2) = 2x1 + 3x2 2. U(X1, 202) = 21 22 1/3 3. U(X1, (2) = min {x1, x2} 4. U(X1, 2) = (21 - 2) (22 + 3) 5. U(21, 262) = (21262)2 + 21

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