Under a negative income tax scheme, a household with no earnings receives $6000 a year. The payment is reduced by 40 cents for each $1 the household earns. What is the total income of a household that earns $5000, and at what earnings does the payment reach zero?
- Reduction in payment = 0.40 × 5000 = $2000.
- Payment received = 6000 − 2000 = $4000.
- Total income = 5000 + 4000 = $9000.
- Payment is zero when 0.40 × earnings = 6000, so earnings = 6000 ÷ 0.40 = $15 000.
Answer: The household has a total income of $9000, and the payment stops at earnings of $15 000.