In 2005, Americans bought 9.1 million home radios for $202 million and 3.8 million home-theater-in-a box units for $730 million (TWICE, March 27, 2006, www.twice.com/article/CA6319031.html). Suppose that the average consumer has a Cobb-Douglas utility function and buys these two goods only. Given the results in Solved Problem 3.7, estimate a plausible Cobb-Douglas utility function such that the consumer would allocate income in the proportions actually observed?