Rollo would love to have a Mercedes. His preferences for consumption in the next year are represented by a utility function U (x; y) where x = 0 if he has no Mercedes and x = 1 if he has a Mercedes for the year and where y is the amount of income he has left to spend on other stu. If U (0,y) = the square root of y and U (1,y) = (10/9)(y 5 ) and if Rollo's income is $50,000 a year, how much would he be willing to pay per year to have a Mercedes?