Consider a worker who earns $8.00 per hour and has no other source of income.  Compare the following two transfer policies:

i.  A negative income tax that sets the tax (per day) at T = 0.2Y - 15

ii.  An earned income tax credit that subsidizes the worker at 40 cents for each dollar earned, up to a maximum daily subsidy of $15, maintains the subsidy at $15 until the worker's labour earnings equal $45 per day, and then phases out at a rate of 20 cents per dollar of earnings.

Illustrate the budget constraints generated by these programs, showing both in the same diagram.