Given the Following Goal Constraints

question 78

Essay

Given the following goal constraints
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5 X₁ + 6 X₂ + 7 X₃ + d₁− − d₁⁺ = 87
3 X₁ + X₂ + 4 X₃ + d₂− − d₂⁺ = 37
7 X₁ + 3 X₂ + 2 X₃ + d₃− − d₃⁺ = 72
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and solution (X₁, X₂, X₃) = (7, 2, 5), what values do the deviational variables assume?

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Definitions:

Self-Actualization

A psychological state or level in Maslow's hierarchy where an individual achieves their fullest potential, including creativity and personal growth.

Path-Goal Model

A leadership theory that stipulates the leader's job is to assist followers in attaining their goals and to provide direction or support needed to ensure that their goals are compatible with the overall objectives of the group or organization.

Situational Leadership

A leadership style where the leader adjusts their approach based on the situation, employee readiness, and task complexity.

Expectancy Motivation Theory

A psychological theory suggesting that an individual's motivation to pursue a certain action is influenced by their expectation of the outcome and the value they place on that outcome.