Either health-care costs are skyrocketing and they are attributable to greedy doctors, or health-care costs are skyrocketing and they are attributable to greedy hospitals. If health-care costs are skyrocketing, then both the government should intercede and health care may have to be rationed. Therefore, health-care costs are skyrocketing and health care may have to be rationed. (S, D, H, I, R)

Translate the following arguments into symbolic form and then use the first thirteen rules of inference to derive the conclusion of each. Use the translation letters in the order in which they are listed.