2. (30 points) Suppose the town of State College has three families, each with one child, and each of which earns $20,000 per year (pro-tax). Each family is taxed $4,000 per year to nance the public school system in the town, which any family can then freely attend. Education spending is $6,000 per student in the public schools. The three families differ in their preferences for education. Though families A and B both send their children to the public school, family B places a greater value on education than family A. Family C places the greatest relative value on education and sends its child to private school. a. Graph the budget constraints facing each of the three families and draw a possible indifference curve which could correspond to the choice each family makes. The city council is considering replacing its current system with a voucher system. Under the new system, each family would receive a $6,000 voucher for education, and families would still be able to send their children to the same public school. Since this would be more costly than the current system, they would also raise taxes to $6,000 per household to pay for it. b. Draw the budget constraint the families would face under this system. Suppose that, when the new system is introduced, family A continues to send their child to public school, but family B now sends their child to private school (along with family C's child). c. Explain how you know that family C is made better off and family A is made worse off by the voucher policy. (1. Show, using a diagram, that it is ambiguous whether B would be made better or worse off under the policy