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) \(t = 15\)

---

Definitions:

Social Expectations

The presumed norms or standards of behavior deemed acceptable or required by a society or social group.

Gender Role Socialization

The process by which individuals learn the cultural norms and expectations associated with their assigned gender.

Michael Messner

An American sociologist known for his work on gender and sports, specifically related to masculinity and its impact on societal norms.

Self-confidence

The belief in one's own abilities and judgment, often leading to a sense of competence and assertiveness.