Consider a profit maximizing firm producing a single output from two inputs. Let pR++3 denote a price vector whose first component is the output price and the second and third components are the input prices. Let (p) denote maximum profit at price vector p. Which of the following statements must necessarily be TRUE regardless of the technology the firm is using? 1. (2,1,3)(1,2,3) 2. (3,4,5)>(4,5,3) 3. (2,2,2)>2(1,1,1) 4. (2,3,4)>21(1,2,3)+21(3,4,5) Consider a profit maximizing firm producing a single output from two inputs. Let pR++3 denote a price vector whose first component is the output price and the second and third components are the input prices. Let (p) denote maximum profit at price vector p. Which of the following statements must necessarily be TRUE regardless of the technology the firm is using? 1. (2,1,3)(1,2,3) 2. (3,4,5)>(4,5,3) 3. (2,2,2)>2(1,1,1) 4. (2,3,4)>21(1,2,3)+21(3,4,5)