Equilibrium output in a closed economy is $£ 1000$, consumption is $£ 800$ and investment is $£ 80$. (a) Deduce $G$. (b) Investment rises by $£ 50$. The marginal propensity to consume out of national income is $0.8$. What are the new equilibrium levels of $Y, C, I$ and $G$ ? (c) Suppose instead that $G$ had risen by $£ 50$. What would be the new equilibrium levels of $Y, C, I$ and $G ?$ (d) If potential output is $£ 1200$, to what must $G$ rise to make output equal potential output?