The Monthly Cost C of Running the Machinery in a Factory

question 280

Multiple Choice

The monthly cost C of running the machinery in a factory for t hours is given by $C ( t ) = 40 t + 400$ The number of hours t needed to produce x products is given by $t ( x ) = 6 x$ .
Find the equation representing the cost C of manufacturing x products.

• A) \(C ( x ) = 46 x + 440\)
• B) \(C ( x ) = 240 x + 16,000\)
• C) \(C ( x ) = 40 x + 406\)
• D) \(C ( x ) = 46 x + 400\)
• E) \(C ( x ) = 240 x + 400\)

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Definitions:

Consumptions

The use of goods and services by households or an economy, including the process by which commodities are utilized to satisfy needs or desires.

Apples

A popular fruit known for its variety of types and uses in food, beverages, and as a raw snack.

Oranges

A citrus fruit that is a common source of vitamin C and is typically round and orange in color.

Utility Function

An equation that quantifies the satisfaction a consumer receives from consuming a combination of goods and services, based on their preferences.