Ted earns $20 per hour if they work and currently resides in the UK. He has 360 hours per month to spend on leisure or work. The UK government considers three different welfare programs. (a) (2 points) With the first program, the government guarantees $1,000 per month but reduces benefits by $1 for each labour income earned. Draw Ted's budget constraint under this program. Write down the slope(s). Label any income-leisure combinations that Ted would never choose under this program. (b) (2 points) With the second program, the government guarantees $800 but reduces the benefits by $1 for each $4 earned in labour income. Draw Ted's budget constraint under this program. Label any income-leisure combina- tions that Ted would never choose under this program. (c) (2 points) With the third program, the government guarantees $1,200 per month but reduces benefits by $1 for each $2 earned in labour income un- til the benefit amount reaches to $400. When the benefits are $400, the government does not decrease the benefits any more. Draw Ted's budget constraint under this program. Label any income-leisure combinations that Ted would never choose under this program.(d) (2 points) Suppose the other residents of the UK are identical to Ted in terms of potential earnings (e.g., wage if they work). If the UK government only cares about the welfare of the poorest, which of these programs should it prefer? Justify your answer with at most 3 sentences