4. In the Dixit-Stiglitz model, the representative consumer's utility function can
where q (w) is consumption of variety w, n is the mass of varieties available to con-
sumers, and p is is a measure of substitutability. O < p < 1.
Suppose that for any w
(0,1), Stephen consumes g(W) = exp(W). Determine
Stephen's utility. That is, determine