Find the Greatest Common Factor of the Given Expressions $54 y ^ { 4 } a ^ { 9 } , 48 y ^ { 3 } a ^ { 11 } \text { and } 78 y ^ { 6 } a ^ { 5 }$

question 33

Multiple Choice

Find the greatest common factor of the given expressions. $54 y ^ { 4 } a ^ { 9 } , 48 y ^ { 3 } a ^ { 11 } \text { and } 78 y ^ { 6 } a ^ { 5 }$

• A) \(8 a ^ { 9 }\)
• B) \(6 y ^ { 3 } a ^ { 5 }\)
• C) \(9 y ^ { 8 } a ^ { 5 }\)
• D) \(8 a ^ { 8 }\)
• E) \(6 y a ^ { 10 }\)

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Definitions:

Demand Function

A mathematical representation that describes the relationship between the quantity of a good demanded and its price, along with other determinants.

Cournot Equilibrium

A condition in a duopoly market where each firm chooses the quantity to produce to maximize its own profit, assuming the other's output is fixed.

Marginal Cost

An additional cost incurred by producing one more unit of a product or service, a key concept in economics for decision-making.

Inverse Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded when price is the independent variable.