Phil Rupp’s utility function is U(x, y) = max{x, 2y}.
(a) On the graph below, use blue ink to draw and label the line whose equation is x = 10. Also use blue ink to draw and label the line whose equation is 2y = 10.
(b) If x = 10 and 2y < 10, then U(x, y) = _____ If x < 10 and 2y = 10, then U(x, y) = ______.
(c) Now use red ink to sketch in the indifference curve along which
U(x, y) = 10. Does Phil have convex preferences? ______.