Solve clearly

File Home Maing Help Consider a cake that is half-chocolate and half-vanilla that will be apportioned to Alice and Bob. Alice receives x and x) of chocolate and vanilla respectively; whereas Bob receives x, and x, of chocolate and vanilla respectively. Their respective utilities are U. = 2. UX = . US = = and UN = = If Alice gets all the vanilla part of the cake and 1/3 of the chocolate... a) What are Alice and Bob's total pay-offs? b) Is division fair under the proportionality criterion? Explain. I c) Is the division fair under the equity criterion? Explain. d) is the division envy-free? Explain. Note: x + x = x* + x, = 1 (The entire cake is apportioned). US + UX = Us + UY = 1 (Each player's total utility sums to one)