The Optimal Solution of the Linear Programming Problem Is at the Intersection

question 18

Essay

The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2.
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$\begin{array} { l l } \text { Max } & 2 x _ { 1 } + x _ { 2 } \\ \text { s.t. } & 4 x _ { 1 } + 1 x _ { 2 } \leq 400 \\ & 4 x _ { 1 } + 3 x _ { 2 } \leq 600 \\ & 1 x _ { 1 } + 2 x _ { 2 } \leq 300 \\ & x _ { 1 } , x _ { 2 } \geq 0 \end{array}$

a.​
Over what range can the coefficient of x₁ vary before the current solution is no longer optimal?
b.​
Over what range can the coefficient of x₂ vary before the current solution is no longer optimal?
c.Compute the dual prices for the three constraints.

Understand the concept of cultural context in communication.

Recognize the influence of professional norms on communication across different cultures.

Identify the challenges and solutions for language differences in multinational companies.

Comprehend the role of non-verbal and paraverbal cues in communication.

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Definitions:

Health Expectancy

The period of life that a person spends free from disability.

Life Expectancy

The expected number of years of life that remain for a person of a given age.

Economic Factors

Aspects related to the economy that can influence health outcomes, such as income level, employment status, and access to healthcare services.

Disease Nature

The intrinsic characteristics and behavior of a disease, including its causes, development, and effects on the human body.