Write the Binomial Expansion of the Expression $\left( 2 + \frac { y } { 3 } \right) ^ { 5 }$

question 150

Multiple Choice

Write the binomial expansion of the expression.
- $\left( 2 + \frac { y } { 3 } \right) ^ { 5 }$

• A) \(32 - \frac { 80 } { 3 } y - \frac { 80 } { 9 } y ^ { 2 } - \frac { 40 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• B) \(- 32 + \frac { 80 } { 3 } y - \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)
• C) \(32 - \frac { 10000 } { 3 } y + \frac { 8000 } { 9 } y ^ { 2 } - \frac { 400 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• D) \(32 + \frac { 80 } { 3 } y + \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)

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Definitions:

Supply Curve

A graphical representation showing the relationship between the price of a good or service and the quantity that suppliers are willing to offer for sale at that price.

Willingness To Pay

The maximum price at which a consumer is prepared to buy a good or service, reflecting the value they place on it.

Full Cost

The total expense associated with producing a good or service, including both fixed and variable costs.

Producer Surplus

The difference between what producers are willing to sell a good for and the actual price they receive, essentially a measure of producer benefit.