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

question 63

Essay

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

Identify the factors influencing gender identity and gender role acquisition in children.

Analyze the impact of parental and societal influences on gender socialization.

Distinguish between gender schemas, gender constancy, and other cognitive-developmental milestones related to gender understanding.

Comprehend the role of hormones in prenatal development and behavior differentiation by gender.

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Definitions:

Exploitation

The act of treating someone unfairly by using their work or ideas and giving them little or nothing in return.

Workers

Individuals employed to perform tasks or services for compensation.

Employers

Individuals or entities that hire people to perform specific jobs or tasks in exchange for compensation.

Crude Birth Rate

A demographic measure representing the number of live births in a given year per 1,000 people in the population.