Write the Compound Statement in Symbols $q \rightarrow(r \wedge p)$

question 15

Multiple Choice

Write the compound statement in symbols. Then construct a truth table for the symbolic statement.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If the food is good and if I eat too much, then I?ll exercise.

• A) \(q \rightarrow(r \wedge p)\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow ( \mathrm { r } \wedge \mathrm { p } ) \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• B)\((r \wedge p) \rightarrow q\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & ( \mathrm { r } \wedge \mathrm { p } ) \rightarrow \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• C)\((r \wedge p) \rightarrow q\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & ( \mathrm { r } \wedge \mathrm { p } ) \rightarrow \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• D)\((r \vee p) \rightarrow q\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & ( \mathrm { r } \vee \mathrm { p } ) \rightarrow \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)

Differentiate between direct and indirect price discrimination.

Evaluate how firms maximize profits through price discrimination.

Calculate optimal pricing strategies for maximizing profits.

Explain the role of consumer surplus and producer surplus in pricing decisions.

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Definitions:

Lot A

Typically refers to a designated plot of land, often identified in plans for development or subdivision.

Will

A legal document specifying how a person's assets and affairs should be handled after their death.

Option Agreement

A contract granting a party the opportunity, but not the obligation, to buy or sell an asset at an agreed-upon price and date.

Fee Simple

The greatest possible interest in land, providing the owner with full ownership rights, including the right to sell or bequeath the property.