Calculate the 11-Unit Moving Average of the Function $f ( x ) = \sqrt { x }$

question 100

Multiple Choice

Calculate the 11-unit moving average of the function. $f ( x ) = \sqrt { x }$

• A) \(\bar { f } ( x ) = \frac { 2 } { 33 } \left( \sqrt { x ^ { 3 } } - \sqrt { ( x + 11 ) ^ { 3 } } \right)\)
• B) \(\bar { f } ( x ) = \frac { 2 } { 11 } \left( \sqrt { x ^ { 3 } } - \sqrt { ( x - 11 ) ^ { 3 } } \right)\)
• C) \(\bar { f } ( x ) = \frac { 1 } { 33 } \left( \sqrt { x ^ { 3 } } - \sqrt { ( x - 11 ) ^ { 3 } } \right)\)
• D) \(\bar { f } ( x ) = \frac { 2 } { 11 } \left( \sqrt { x ^ { 3 } } + \sqrt { ( x - 11 ) ^ { 3 } } \right)\)
• E) \(\bar { f } ( x ) = \frac { 2 } { 33 } \left( \sqrt { x ^ { 3 } } - \sqrt { ( x - 11 ) ^ { 3 } } \right)\)

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Definitions:

Fixed Costs

Expenses that do not change with the level of production or sales over the short term, such as rent and salaries.

Unit Contribution Margin

The difference between the selling price per unit and the variable cost per unit of a product.

Break-even Point

The level of production or sales at which total revenues equal total expenses, and the business makes neither a profit nor a loss.

Unit Contribution Margin

The difference between the selling price per unit and the variable cost per unit, indicating how much each unit sold contributes to covering fixed costs and generating profit.