Numerical for IS$-$LM Model

There is following information for an economy about its goods and money markets.

Consumption: C $=360+0\mathrm{.}80$Ya$,$ where Ya $=$ Y$-$T

Investment: I $=640-6$i$,$

Government Expenditure: G $=160$

Tax: T $=200$

Price level: P $=3$

Nominal Money Supply: M $=1200$

Demand for Money: L $=0\mathrm{.}2$Y $-4$i

i$.$ Derive the IS and LM equations and equilibrium level of income and interest rate for the economy.

ii$.$ What is the effect of rise in real money supply by $200$ on the equilibrium level of income and interest rate?

iii. What is the effect of rise in government expenditure by $200$ on the equilibrium level of income and interest rate assuming no change in nominal money supply, which remains at $1200$ and P$=3?$

iv$.$ Compute the fiscal and monetary policy multipliers

V$.$ Compute the increase in government expenditure required to achieve full employment if the full employment level of income Y$=4700$