Solve the following questions explaining your Answers in details.

Suppose we have the following information for an economy: Y=l, Cd =[l.31'. J =2D (i) Show that the economy is in equilibrium. {ii} If the level of national income were 12D: (a) what would be the level of aggregate demand?I (b) what would be the unplanned increase or decrease in stocks? (c) how would rms change their level of output? (iii) Repeat the above analysis for a national income of 30. {iv} Calculate the new equilibrium level of national income if exports increase by 5. {v} Starting from the original position, calculate the new equilibrium level of national income if the marginal propensity to consume domestically produced goods decreases to 0.5. A mortality investigation was held between 1 January 2007 and 1 January 2009. The following information was collected. The figures in the table below are the numbers of lives on each census date with the specified age labels. Date Age last birthday 1.1.07 1.1.08 1.1.09 48 3.486 3.384 3.420 49 3.450 3,507 3,435 50 3,510 3,595 3,540 During the investigation there were 42 deaths at age 49 nearest birthday. Estimate /49 stating any assumptions that you make. [7]