2. A society made of four individuals needs to choose among four alternative allocations of resources A, B, C and D. The individuals report receiving the following utility values in each of the allocations: ~ Allocation A Allocation Be Allocation C Allocation D Individual 1 15 - 10 Individual 2 10 - Individual 3 10 - 2 0 4 0 Individual 4 9 + 8 0 Based on this information, answer the following questions. Provide a justification for each answer. No marks will be awarded if no or an incorrect justification is provided. ~ 2.1. Does a utilitarian decision maker choose the same allocation as a Rawlsian decision maker? For each decision maker, write down their social welfare function (SWF) and calculate the values of the SWF for each allocation. (10 marks) 2.2. Does the SWF of the utilitarian decision maker satisfy the property of anonymity? (7 marks) 2.3. Does the SWF of the Rawlsian decision maker satisfy the property of the Pareto principle? (7 marks) 2.4. Which allocation is chosen according to the Borda count? (6 marks) 2.5. Individual 3 updated their reported utility values in the following way: ~ Allocation A Allocation Be Allocation Ce Allocation D Individual 1 5 0 15 - 10 T. Individual 2 7 + 10 Individual 3 10 - T. Individual 4 8 + Will the same allocation as in part 2.4 be chosen according to the Borda count? What does this example demonstrate? (10 marks) ~