Consider the Following Domain, Assignment of Objects in the Domain

question 166

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {1, 2, 3, ..., 28, 29, 30}
a = 1
e = 21
b = 2
f = 23
c = 4
g = 27
d = 20
h = 29
Ex = {2, 4, 6, ..., 28, 30}
Ox = {1, 3, 5, ..., 27, 29}
Px = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
Sxyz = The set of all triples such that the first is the sum of the second and third
{<2, 1, 1>, <3, 1, 2>, <3, 2, 1>, <4, 1, 3>, <4, 2, 2>, <4, 3, 1>, <5, 1, 4>, ... }
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

• A) Sdca • Shgb
• (∃x)(∃y)Sdxy • ~(∃x)(∃y)Sgxy
• B) Scbb • Seda
• (∃x)(∃y)Scxy • ~(∃x)(∃y)Sbxy
• C) Secb • Shga
• (∃x)(∃y)Sgxy • ~(∀x)(∀y)Sfxy
• D) Sfeb • Sgfc
• (∃x)(∃y)Shxy • ∼(∀x)(∀y)Shxy
• E) Shgb • Sfbe
• (∃x)(∃y)Sgxy • ~(∃x)Sxcd

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Definitions:

Gross Profit

The difference between sales revenue and the cost of goods sold, representing the profit from buying and selling goods before administrative and other expenses.

Cost of Goods Manufactured

The total cost incurred by a company to produce goods in a given period, including materials, labor, and overhead expenses.

Net Sales

The amount of sales revenue after deducting sales returns, allowances, and discounts.

Balanced Scorecard

A strategic planning and management system used to align business activities to the vision and strategy of the organization, improve internal and external communications, and monitor performance against strategic goals.