Find the Supply Function $x = f ( p )$ That Satisfies

question 60

Multiple Choice

Find the supply function $x = f ( p )$ that satisfies $\frac { d x } { d p } = p \sqrt { p ^ { 2 } - 25 }$ and the initial condition x = 700 when $p = \$ 13$ .

• A) \(x = \frac { 1 } { 3 } \left( p ^ { 2 } - 25 \right) ^ { 3 / 2 } + 124\)
• B) \(x = \frac { 1 } { 3 } \left( p ^ { 2 } - 25 \right) ^ { 1 / 2 } + 696\)
• C) \(x = \frac { 1 } { 3 } ( p - 5 ) + 124\)
• D) \(x = \frac { 1 } { 5 } \left( p ^ { 2 } - 25 \right) ^ { 3 / 2 } + 127\)
• E) \(x = \frac { 1 } { p - 1 } \left( p ^ { 2 } - 25 \right) ^ { 1 / 2 } + 699\)

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Definitions:

Cultural Preference

The tendency of individuals or groups to favor certain beliefs, practices, or items because of cultural backgrounds.

Structured Situations

Scenarios or environments where the procedures, rules, and objectives are clearly defined and organized.

Exporting

The activity of selling goods or services produced in one country to buyers in other countries.

Foreign Markets

Markets outside the domestic boundaries of a company's home country where it conducts business activities.