B. Consider a simple example of how single-peaked and non-single-peaked tastes over policy might naturally emerge in a case where there is only a single dimensional issue. A voter has preferences that can be represented by the utility function u1x,y2 5 xy where x is private consumption and y is a public good. The only contributor to y is the government, which employs a proportional tax rate t.

Suppose y 5 dt.

a. Suppose an individual has income I. Write his utility as a function of t,

d, and I.