Production $P ( t ) :$ $P ( t ) = 90 t + 42 t ^ { 2 } - 2 t ^ { 3 }$

question 3

Multiple Choice

Production. Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function $P ( t ) :$ $P ( t ) = 90 t + 42 t ^ { 2 } - 2 t ^ { 3 }$ . Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns.

• A) \(t = 0\)
• B) \(t = 7\)
• C) \(t = 5\)
• D) \(t = 8\)
• E) \(t = 15\)

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Definitions:

Communism

A political and economic ideology advocating for a classless society in which all property and resources are communally owned, and each person works and is compensated according to their abilities and needs.

Measure Progress

The processes and methods used to assess the advancement or development of societies, economies, or individuals towards specific goals.

Body Count

The total number of killed, wounded, or missing individuals in a particular event, often used in the context of military conflicts or disasters.

Opponents

Opponents are individuals or groups that compete against or hold differing views from another in a conflict, competition, or debate.