$\text { Find } f ^ { tt} ( x ) \text { if } f ( x ) = ( 7 + 4 x ) e ^ { - 4 x }$

question 81

Multiple Choice

$\text { Find } f ^ { tt} ( x ) \text { if } f ( x ) = ( 7 + 4 x ) e ^ { - 4 x }$

• A) \(f ^ { tt } ( x ) = - 80 ( 7 + 4 x ) e ^ { - 4 x }\)
• B) \(f ^ { tt } ( x ) = ( - 80 - 64 x ) e ^ { - 4 x }\)
• C) \(f ^ { tt} ( x ) = - ( 24 + 16 x ) e ^ { - 4 x }\)
• D) \(f ^ { tt} ( x ) = ( 80 - 64 x ) e ^ { - 4 x }\)
• E) \(f ^ { tt } ( x ) = ( 80 + 64 x ) e ^ { - 4 x }\)

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Definitions:

Contribution Margin

The amount by which a product's sales revenue exceeds its variable costs, used to cover fixed costs and contribute to profits.

Unit Selling Price

The cost at which a single unit of product is sold to customers, important for determining pricing strategies and profitability.

Unit Variable Cost

The cost associated with producing one additional unit of a product.

Break-even Point

The stage at which total revenues equal total costs, resulting in neither profit nor loss for the business.