Consider the Transportation Problem and Its Optimal Solution in the Tables

question 89

Multiple Choice

Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the objective function if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged?
$\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \\\hline\text { Source 1 } & 12 & 18 & 9 & 11 & 105 \\\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline & & & & & \\\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \\\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}$

• A) 0
• B) fifty units
• C) a decrease of $9
• D) an increase of $450
• E) an increase of $630

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Definitions:

Mania

A mental state characterized by periods of great excitement, euphoria, delusions, and overactivity.

Obsession

A persistent, involuntary thought, image, or impulse that invades consciousness and causes great distress.

Panic Disorder

A psychiatric disorder characterized by sudden and repeated episodes of intense fear accompanied by physical symptoms that may include chest pain, heart palpitations, shortness of breath, dizziness, or abdominal distress.

Agoraphobia

An anxiety disorder characterized by an intense fear of being in situations where escape might be difficult or where help wouldn't be available if things go wrong.