Sheryl and Dylan each have the same income of $5, which they can spend on potatoes and carrots. Assume that their indifference curves are downward-sloping and convex. Suppose Sheryl has a stronger preference for carrots over potatoes, while Dylan has a stronger preference for potatoes over carrots. (a) On the same graph, draw Sheryl's indifference curves, and Dylan's indifference curves. Briefly explain how you derived their shapes. (b) Which person will buy more carrots than the other, Sheryl or Dylan? Which person will buy more potatoes than the other, Sheryl or Dylan? Show this graphically.