If Y = C ( X ) Represents the Cost

question 33

Multiple Choice

If y = c ( x ) represents the cost of producing x units in a manufacturing process, the elasticity of cost is defined as $E ( x ) = \frac { \text { marginal cost } } { \text { average cost } } = \frac { C ^ { \prime } ( x ) } { C ( x ) / x } = \frac { x } { y } \frac { d y } { d x }$ . Find the cost function if the elasticity function is $E ( x ) = \frac { 12 x - y } { 2 y - 6 x }$ , where $C ( 90 ) = 272$ and $x \geq 90$ .

• A) \(y = \frac { 3 \left( x ^ { 2 } + \sqrt { x ^ { 4 } - 730,210 x } \right) } { x }\)
• B) \(y = \frac { 6 \left( x ^ { 2 } + \sqrt { x ^ { 4 } - 730,210 x } \right) } { x }\)
• C) \(y = \frac { 6 \left( x ^ { 2 } + \sqrt { x ^ { 4 } - 728,960 } \right) } { x }\)
• D) \(y = \frac { 3 \left( x ^ { 2 } + 2 \sqrt { x ^ { 4 } - 734,041 } \right) } { x }\)
• E)\(y = \frac { 3 \left( x ^ { 2 } + \sqrt { x ^ { 4 } - 728,960 x } \right) } { x }\)

Explain the benefits and functions of sleep.

Describe mechanisms and effects of psychoactive drugs.

Grasp the conceptual theories behind dreams and their interpretations.

Understand the role of sleep in cognitive processes such as memory consolidation.

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Definitions:

Operating Profit

Income generated from the principal activities of a company, not including interest and tax deductions.

Retail Price

The price at which goods or services are sold to the public.

Trade Discount

A reduction in the list price of goods or services offered to buyers, typically in the business-to-business market.

Wholesalers

Businesses or individuals that sell goods in large quantities at lower prices, typically to retailers or professional buyers.