Economics 1. Let S = {x E ZZ? | 4x1 + 12

Economics 1. Let S = {x e Z2+ 1 4$1 + 28, + 4x2 27, 1}. a. Describe all of the faces of conv(S), both algebraically and graphically. b. Derive each facet of cone(S) using C-G rounding. c. What is the p (C-G rank) of each facet that you found in b? Show steps of Chvtal-Gomory rounding in details please, thank you.