4. Consider the model by Epple and Romano (1998) in the lecture, \"Private Schools and School Vouchers\". (a) (8 points) There are two private schools i = 1,2 and a public-school sector indexed by i = 0. The school qualities of these schools are, respectively, 8, = 20, 8; = 23 and 8, = 40. Suppose a student is offered admission by both schools 1 and 2 and the student is indifferent between the two schools. Is this student paying a tuition above or just equal to school 1's EMC (effective marginal cost) to admit the student? Is this student paying a tuition above or just to school 2's EMC to admit the student? Explain. (b) (7 points) Who should benefit the most in terms of income level and ability from the introduction of universal school vouchers? Explain