Find the Area of the Region Bounded by Equations by Integrating

question 48

Multiple Choice

Find the area of the region bounded by equations by integrating
(i) with respect to x and
(ii) with respect to y.
$\begin{array} { l } y = x ^ { 2 } \\y = 72 - x\end{array}$

• A) \(A = \frac { 819 } { 4 }\)
• B) \(A = \frac { 1637 } { 4 }\)
• C) \(A = \frac { 819 } { 2 }\)
• D) \(A = \frac { 4913 } { 12 }\)
• E) \(A = \frac { 4913 } { 6 }\)

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Definitions:

Fixed Production Costs

Costs that do not change with the level of production, such as rent for factory space or salaries for permanent staff.

Variable Manufacturing Costs

Costs that change in proportion to the levels of production or sales volume, such as raw materials and direct labor.

Sales

Sales involve the exchange of goods or services for payment, essentially representing the revenue generated from these transactions.

Absorption Costing

A method in accounting that captures the complete range of manufacturing costs - direct materials, direct labor, and all overhead expenses, both fixed and variable - within the cost of a product.