Could you please assist

Suppose that households have one child each and an income of M per year to spend on their child's education and other goods. Each year they elect to either send their children to a Public School and receive $21,000 worth of education or to a Private School and pay $X to receive $14,000+$X worth of education. For example, if a household chooses to spend X=$5,000 on private education, then they receive $19,000 in education.

Government Students Fee Subsidy Total Funding Public School 2.50 million $21,000 SO $21,000 Private School 1.50 million $14,000 SX* $X* +$14,000\fAll households have a utility function U=X2Y? where X is $ of education their child receives, and Y is $ spent on non-essential goods. The values of a and b are provided below. The demand function for X is X*=i(M+V) and the demand function for Y is Y*=(M+V), where M is income (disposable income after all essential spending) and V is any voucher paid Suppose there are: 1.00 million 1.50 million 0.75 million 0.75 million Type | households with Type Il households with Type Il households with Type IV households with M = $25,000, a= 0.4 and b=0.6 M = $50,000, a= 0.4 and b=0.6 M = $50,000, a= 0.6 and b=0.4 M = $100,000, a= 0.6 and b=0.4