The provincial government is considering introducing a direct transfer programme as a form of income support. The amount of benet individuals receive is $300. Individual can keep the $300 as long as their labour income (or earnings) is less than $2000, but for each dollar over $2000, their benet decreases by $0.30 (clawback rate is 30%) until the $300 is fully phased out. Assume the hourly wage is $20 and non- labour income, y, is $100. (1) Write down the equation(s) describing the programme with all the necessary parts and hour or earnings range for each segment. (3 marks) e) Draw the budget constraint before and after programme implementation on one graph. Carefully label all the axes and corresponding hours and income (or consumption) at all the kinked points on your graph. (4 marks) 1) Write down the new budget constraint with all the necessary parts and hour or income range for each segment. State the slope of each segment. (5 marks) g) Compare the old and new budget lines and use the substitution and income effect concepts to explain briemg whether this programme has a component that motivates work both at the intensive (hours) and extensive (employment) margins, among the programme participants. You should cleanly and clearly show your analysis for each segment of the new budget line separately. (4 marks)