; (ii) an additional statement of whether a rule is required by statute; and (iii) an achievable objective for the rule and metrics by which the agency will measure progress toward that objective; (F) a reasoned preliminary determination that the benefits of the proposed rule meet the relevant statutory objectives and justify the costs of the proposed rule (including all costs to be considered under subsection (b)(6)), based on the information described under subparagraph (D); (G) a discussion of— (i) the alternatives to the proposed rule, and other alternative responses, considered by the agency under subsection (b); (ii) the costs and benefits of those alternatives (including all costs to be considered under subsection (b)(6)); (iii) whether those alternatives meet relevant statutory objectives; and (iv) why the agency did not propose any of those alternatives; and (H) (i) a statement of whether existing rules have created or contributed to the problem the agency seeks to address with the proposed rule