help me with this financial math problem . understand all data and then solve . dont copy paste.

It is important to observe that though government expenditure has an expansionary effect, taxes have a contractionary effect on the income level. However, the contractionary effect of taxes is less than the expansionary effect of government expenditure even though AG = AT. This is because though an increase in government spending is entirely an addition to the aggregate demand, an increase in T is not entirely a decrease in the aggregate demand. Some part of the increase in T involves a reduction in the savings whereas the rest is absorbed by a reduction in consumption and hence, in aggregate demand. Although before the imposition of the tax the equilibrium level of income was Y, after the tax it reduces to Y, and not to Y* (even though G = T). Hence the imposition of a tax, given the level of govern- ment expenditure, causes a reduction in the equilibrium level of income from Y, to Y, though it is still larger than the initial income level Y*. An important implication for fiscal policy is that an economy can achieve full employment output by an expansion in its budget, financing every rupee of additional expenditure with a rupee of additional taxes. Numerical Problem 1 In a two sector economy, the basic equations are as follows: the consumption function is C = 100+ 0.80Y, and invest- ment is 1 = 150 crores. The equilibrium level of income is Rs. 1250 crores. Suppose the government sector is added to this two sector model, which then becomes a three sector economy. The government expenditure is at Rs. 50 crores. (a) Find the equilibrium level of income in the three sector economy. (b) What is the multiplier affect of the government expenditure? Is it of the same magnitude as the multiplier effect of a change in the autonomous investment? (C) Suppose that there is a balanced budget in that the entire government expenditure is financed from a lump sum tax. Find the new equilibrium level of income in the three sector economy