Suppose, as in the federal income tax code for the United States, that the representative consumer faces a wage income tax with a standard deduction.

That is, the representative consumer pays no tax on wage income for the first x units of real wage income, and then pays a proportional tax t on each unit of real wage income greater than x.

Therefore, the consumer's budget constraint is given by

C= w(h-l) + pi if w(h-l) is less than or equal to x, or

C= (l-t)w(h-1)+tx+pi if w(h-l) is greater than or equal to x.

where C is consumption, l is leisure, w is the wage, pi denotes dividends, and h is the total amount of time available.

Draw the consumer's budget constraint on the (l,C) plane.