$2.$ Draw a graph for an individual labour supply choice $($indifference curves and budget lines in a leisure$-$vs$-$income system of coordinates$).$

a$.$ In your diagram, show what happens to the equilibrium choice of work hours by a worker when the worker turns $65$ and starts receiving $($unconditional$,$ i$.$e$.,$ independent of whether she works or not and how much she works$)$ old$-$age pension weekly payments of $$1\mathrm{.}200.$