Graph a typical indifference curve for the following utility functions, and determine whether they have convex indifference curves (i.e., whether the MRS declines as x increases). 1

1. U(x,y) = 3x + y

2. U(x,y) = xy

3. U(x,y) = x + y

4. U(x,y) = min(2x, 5y)

5. U(x,y) = xy/(x+y)