If Utility Is Separable in a Three-Good Utility Function Then for Changes In

question 8

Multiple Choice

If utility is separable in a three-good utility function $\left[ U \left( x _ { 1 } , x _ { 2 } , x _ { 3 } \right) = U _ { 1 } \left( x _ { 1 } \right) + U _ { 2 } \left( x _ { 2 } \right) + U _ { 3 } \left( x _ { 3 } \right) , U _ { i } ^ { \prime } > 0 \quad U _ { i } ^ { \prime } < 0 \right]$ then for changes in $p _ { 1 } , x _ { 2 } \text { and } x _ { 3 } \text { must }$

• A)both be gross substitutes for x₁ .
• B)both be gross complements for x₁ .
• C)be such that if one is a gross substitute for x₁ ,the other is a gross complement for x₁ .
• D)both be gross substitutes or both be gross complements for x.

---

Definitions:

Emotional Competence

The capacity to effectively understand and manage one's own emotions and empathetically interact with others' feelings.

Competencies

The skills, knowledge, and abilities that are necessary for the effective performance of a job or task.

Listening Openly

The practice of actively and attentively listening to others without judgment or forming premature conclusions.

Emotional Intelligence

The ability to recognize, understand, and manage one’s own emotions and the emotions of others.