The Goal Programming Problem Below Was Solved with the Management $\ge$

question 2

Essay

The goal programming problem below was solved with the Management Scientist.
Min
P₁(d₁^-) + P₂(d₂⁺) + P₃(d₃^-)
s.t.
72x₁ + 38x₂ + 23x₃ - 20,000
.72x₁ -.76x₂ - .23x₃ + d₁^- - d₁⁺ = 0
x₃ + d₂^- - d₂⁺ = 150
38x₂ + d₃^- -d₃⁺ = 2000
x₁, x₂, x₃, d₁^-, d ₁⁺, d₂^-, d₂⁺, d₃^-, d₃⁺ $\ge$ 0
Partial output from three successive linear programming problems is given. For each problem, give the original objective function expression and its value, and list any constraints needed beyond those that were in the original problem. $$\begin{array}{l}\text { a. Objective Function Value } = 0.000\\\begin{array} { l c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { D1MINUS } & 0.000 & 1.000 \\\text { X1 } & 52.632 & 0.000 \\\text { X2 } & 0.000 & 0.000 \\\text { X3 } & 150.000 & 0.000 \\\text { D1PLUS } & 3.395 & 0.000 \\\text { D2MINUS } & 0.000 & 0.000 \\\text { D2PLUS } & 0.000 & 0.000 \\\text { D3MINUS } & 0.000 & 0.000 \\\text { D3PLUS } & 0.000 & 0.000\end{array}\end{array}$$ $$\begin{array}{l}\text { b. Objective Function Value } = 0.000\\\begin{array} { l c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { D2PLUS } & 0.000 & 1.000 \\\text { X1 } & 52.632 & 0.000 \\\text { X2 } & 0.000 & 0.000 \\\text { X3 } & 150.000 & 0.000 \\\text { D1MINUS } & 0.000 & 0.000 \\\text { D1PLUS } & 3.395 & 0.000 \\\text { D2MINUS } & 0.000 & 0.000 \\\text { D3MINUS } & 0.000 & 0.000 \\\text { D3PLUS } & 0.000 & 0.000\end{array}\end{array}$$ $$\begin{array}{l}\text { c. Objective Function Value } = 0.000\\\begin{array} { l c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { D3MINUS } & 0.000 & 1.000 \\\text { X1 } & 52.632 & 0.000 \\\text { X2 } & 0.000 & 0.000 \\\text { X3 } & 150.000 & 0.000 \\\text { D1MINUS } & 0.000 & 0.000 \\\text { D1PLUS } & 3.395 & 0.000 \\\text { D2MINUS } & 0.000 & 0.000 \\\text { D2PLUS } & 0.000 & 0.000 \\\text { D3PLUS } & 0.000 & 0.000\end{array}\end{array}$$

Recognize the neurological basis and implications of split-brain research.

Identify the roles of specific brain regions in language, emotion, and cognitive functions.

Describe the concept of brain lateralization and its implications for language and visual perception.

Appreciate the impact of environment and experience on brain structure and function.

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Definitions:

Schedule E

A form used by the IRS for tax filers to report income and expenses from rental real estate, royalties, partnerships, S corporations, trusts, and residual interests in REMICs.

Rental Expense

Costs incurred in the process of renting a property, which can include payments for lease, maintenance, and utilities, often deductible for business or tax purposes.

Capital Improvement

An addition or change to a property that increases its value or usefulness, often extending its usability duration and treated differently than regular maintenance for tax purposes.

Rental Activity

Involves renting out property or equipment as a source of income, with tax implications based on the duration of rental and type of property.