Repeat Worked-Out Problem 21.2 with the following assumptions: the value of a high-ability worker's marginal product is $60 per hour and the value of a low-ability worker's marginal product is $10 per hour, preferences correspond to the utility function
UH (E, W) = W - 40√E
For high-ability workers, and
UL(E, W) = W - 50√E
for low-ability workers, everyone is required to attend at least 9 years of school by law, and 20 percent of the population has low ability (the rest have high ability).