The market wage a worker can earn is $10/hour. Draw the budget constraints that show the monthly consumption-leisure trade-off for each of the following scenarios:

(i) The state guarantees $500 in income but reduces this benefit by $1 for each $1 of earned labor income by the worker

(ii) The state guarantees $250 in income but reduces this benefit by $1 for every $3 of earned labor income by the worker

(iii)The state guarantees $750 in income but reduces this benefit by $1 for every $2 of earned labor income by the worker until the benefit reaches $300, after which the benefit remains constant.

Please show the work.