The Marginal Cost of Producing the Xth Box of Computer $2 + \frac { x ^ { 2 } } { 120,000 }$

question 1

Multiple Choice

The marginal cost of producing the xth box of computer disks is $2 + \frac { x ^ { 2 } } { 120,000 }$ and the fixed cost is $120,000. Find the cost function $C ( x )$ .

• A) \(C ( x ) = 2 x + \frac { x ^ { 3 } } { 360,000 } - 120,000\)
• B) \(C ( x ) = 2 x + \frac { x ^ { 3 } } { 360,000 } + 120,000\)
• C) \(C ( x ) = - 2 x + \frac { x ^ { 3 } } { 360,000 } + 120,000\)
• D) \(C ( x ) = \frac { x ^ { 3 } } { 360,000 } - 120,000\)
• E) \(C ( x ) = \frac { x ^ { 3 } } { 360,000 } + 120,000\)

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Definitions:

Laspeyres Price Index

The Laspeyres Price Index measures the change in the price of a basket of goods and services over time, using the quantities of the base period.

Base Year

A specific year chosen as a point of reference or benchmark for economic or financial calculations, such as indexing or comparing prices.

Current Year

The ongoing calendar year during which an event or measurement is taking place.

Laspeyres Price Index

An index that measures the change in the price of a basket of goods and services based on the quantities purchased in a base period.