An Artist Produces Two Items for Sale $R ( x , y ) = 40 x + 7 x y + 80 y ^ { 2 } + 10 y$

question 15

Multiple Choice

An artist produces two items for sale. Each unit of item I costs $50 to produce, while each unit of item II costs $200. The revenue function is $R ( x , y ) = 40 x + 7 x y + 80 y ^ { 2 } + 10 y$ , where x is units of item I and y is units of item II. Suppose the artist has only $1000 to spend on production. Which of the following is the Lagrange function the artist should use to determine what combination of production amounts (x, y) will yield maximum profits subject to the constraint that his costs must equal $1000.

• A) -10x + 7xy + 80 \(y ^ { 2 }\) - 190y + λ(200x + 50y - 1000)
• B) 40x + 7xy + 80 \(y ^ { 2 }\) + 10y + λ(50x + 200y - 1000)
• C) -10x + 7xy + 80 \(y ^ { 2 }\) - 190y + λ(50x + 200y - 1000)
• D) 40x + 7xy + 80 \(y ^ { 2 }\) + 10y + λ(200x + 50y - 1000)
• E) none of these

Recognize the importance and characteristics of scientific methods in psychology.

Understand the difference between psychiatrists and psychologists, including their roles and approaches to treatment.

Comprehend the concept of operational definitions and their significance in psychological research.

Describe the development and application of theories and hypotheses in psychology.

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Definitions:

Reciprocal Socialization

A dynamic process whereby individuals, such as parents and children, mutually influence and socialize each other's behaviors and understandings.

Environmental Factors

External elements, including physical, social, and cultural conditions, that can influence an individual's health, behavior, and development.

Reciprocal Socialization

A process by which individuals (such as children and parents) influence and are influenced by each other's behavior and emotions.

Automaticity

The ability to perform tasks without conscious thought or attention, typically as a result of learning and repetition.