a) Suppose a consumer has two goods from which to choose. Draw a graph, with quantities on the X- and Y-axes, that illustrates how she can choose, given prices and income.
b) Also, illustrate a few indifference curves in the graph.
c) Show how the consumer maximizes her utility and where in the graph this occurs.
d) Can you give an example of a situation in which the consumer will find more than one point where she maximizes her utility? Think about what the indifference curves must look like to make this possible.