Consider the following utility functions. Assume x1 2 0.x2 2 0. "1(xlax2) = (11 + 4x2)2 \"2071-959 = 5951375; \"3051-12) = x1(x2 + 2) "4051-12) = max{x1,x2} U5(x1,x2) = min{3x1 + x2, x1 + 3x2} Give an answer to the following three questions for each of the five utility functions above: 3. Draw/plot an indifference curve passing through the bundle (6, 2). 4. Does this consumer have convex preferences? Explain briefly. 5. Suppose the consumer is facing prices p1 = 2,132 = 1, and has an income of $20. Find the utility maximizing bundle for the consumer. Depending on the utility function, you can use algebra or geometry to nd the