Find $d y / d u , d u / d x \text {, and } d y / d x$

question 40

Multiple Choice

Find $d y / d u , d u / d x \text {, and } d y / d x$ of the functions $y = u ^ { 2 } , u = 4 x + 7$ .

• A) \(d y / d u = 2 u , d u / d x = 4 , \text { and } d y / d x = 32 x + 56\)
• B) \(d y / d u = 2 u , d u / d x = 2 \text {, and } d y / d x = 16 x + 49\)
• C) \(d y / d u = 4 u , d u / d x = 4 , \text { and } d y / d x = 32 x + 56\)
• D) \(d y / d u = 4 u , d u / d x = 2 , \text { and } d y / d x = 32 x + 56\)
• E) \(d y / d u = 2 u , d u / d x = 4 \text {, and } d y / d x = 16 x + 49\)

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Definitions:

Fixed Costs

Fixed costs are expenses that do not change with the level of production or sales activities within a certain range or period.

Break-Even Point

The level of production or sales at which total revenues equal total costs, resulting in no net loss or gain.

Variable Expenses

Expenses that change in proportion to the amount of goods produced, including materials and wages directly associated with manufacturing.

Break-Even Analysis

A financial calculation that determines the point at which total revenues equal total costs, indicating no profit or loss.