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Zorluk: KolayNecessary Assumption

Chef Mario’s new signature pasta dish features locally sourced organic white truffles. These truffles cost the restaurant significantly more per ounce than any other ingredient currently used in the kitchen. Because of the extreme cost of this single ingredient, Chef Mario's new pasta dish will have the highest menu price of any item offered at the restaurant.

Which of the following assumptions are logically necessary for the conclusion to be properly drawn? (Select all that apply)

  1. The menu prices of the dishes at Chef Mario's restaurant are influenced, at least in part, by the cost of the ingredients used to make them.Cevap
  2. There is no other dish on the menu whose combination of ingredients results in a total ingredient cost higher than that of the new pasta dish.Cevap
  3. C
    Any menu item that contains organic ingredients will naturally be priced higher than items containing only non-organic ingredients.
  4. D
    Chef Mario's customers are willing to pay the highest menu price for a dish if it contains premium, locally sourced ingredients.
  5. E
    Organic white truffles are the most expensive culinary ingredient available for purchase in the restaurant's local region.

Cevap

The correct assumptions are that the restaurant's ingredient costs actually influence its menu prices, and that no other dish on the menu has a higher total ingredient cost.
For the argument's conclusion to logically follow, two unstated premises must be true. First, there must be a relationship between the cost of ingredients and the final menu price. If the restaurant determined prices randomly or based solely on prep time, the conclusion would fail. Second, the argument relies on a single ingredient's per-ounce cost to make a claim about the total price of a dish. This requires assuming that no other dish uses a large enough quantity of other ingredients to surpass the pasta's total cost.

Adım Adım Çözüm

1
Identify the core premises of the argument.
Premise: Truffles cost more per ounce than any other ingredient in the kitchen.
Understanding the foundation of the argument is required to find the logical gap.
2
Identify the main conclusion.
Conclusion: The new pasta dish will have the highest menu price of any item.
The necessary assumption must bridge the premises to this specific conclusion.
3
Identify the logical gaps between the premises and the conclusion.
Gap 1: The argument assumes ingredient cost dictates menu price. Gap 2: The argument assumes that having the most expensive single ingredient means having the highest total overall cost.
Conclusions often introduce new terms or comparisons not fully supported by the premises.
4
Apply the Negation Test to the candidate assumptions.
If menu prices are NOT based on ingredient costs, or if another dish has a higher total cost, the conclusion that the pasta dish will be the most expensive falls apart.
A necessary assumption is one that, if proven false, destroys the argument.

Anahtar Kavram

Necessary assumptions bridge unstated gaps in reasoning (Supporter) or rule out scenarios that would destroy the conclusion (Defender).
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