The Army pays soldiers a salary of $2000 per month. Suppose that all soldiers have the same utility function U=HY, where H is the quantity of housing services demanded per month (i.e., the number of square feet of space) and Y is a composite of all other goods. The price of housing is PH and the price of Y is PY. The Marshallian demand functions are H*=I/2PH and Y*=I/2PY. Soldiers have no income other than their Army salary.
a)Find the indirect utility function and the expenditure function for the typical soldier.