4. The mechanism designer must allocate 10 identical objects. There is no cost asso- ciated with allocating the objects. There are more than 10 individuals interested B C D VB (a) VB -2-1 vc(a) -5 VC -5 VD(a) -1 -2 VD Table 1 Negative consumption externality in receiving an object. Each individual i would like to receive at most one object. The utility of individual i is given by Ui = vigi - ti, where vi is i's private value for receiving an object, and q = 1 if i receives an object and q = 0 otherwise. (a) Find all Pareto efficient outcomes. (b) Find the VCG mechanism for this problem. (c) Does the VCG mechanism run a deficit