1. Suppose that a consumer can earn a higher wage rate for working overtime. That is for the rst q hours the consumer works, he or she receives a real wage of ml, and for the hours worked in excess of q he or she receives 102, where 102 > wl. Suppose that the consumer pays no taxes and does not receive any non-wage income. Also, he or she is free to choose any number of hours of work up to the limit, h > g. (a) Draw the consumer's budget constraint and show his or her optimal choice of consumption and leisure (b) Show that the consumer would never work q hours or anything very close to q hours. Explain the intuition behind this result