Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda (5), and these provide him autility ofutility = U(t, s) = Jr}.a. If Twinkies cost $0.10 each and soda costs $0.25 per cup. how should Paul spend the 51 his mother gives him tomaximize his utilitY?b. Ifthe school tries to discourage Twinkie consumption by increasing the price to $0.40. by how much will Paul‘s motherhave to increase his lunch allowance to provide him with the same level of utility he received in part (a)?