A Manufacturing Firm Has Four Plants and Wants to Find

question 60

Multiple Choice

A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below:
$$\text{Customer (requirement) }\\\begin{array} { l c c c c } &&Customer ~2 &Customer ~3& Customer ~4\\\text { Factory (capacity) }&\text{ Customer } 1 ( 125 ) & ( 150 ) & ( 175 ) & ( 75 ) \\ A ( 100 ) & \$ 15 & \$ 10 & \$ 20 & \$ 17 \\ \mathrm {~B} ( 75 ) & \$ 20 & \$ 12 & \$ 19 & \$ 20 \\ \mathrm { C } ( 100 ) & \$ 22 & \$ 20 & \$ 25 & \$ 14 \\ \mathrm { D } ( 250 ) & \$ 21 & \$ 15 & \$ 28 & \$ 12 \end{array}$$
How many arcs will the network have?

• A) 3
• B) 4
• C) 7
• D) 12
• E) 16

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Definitions:

Psychological Toll

The psychological toll refers to the mental and emotional burden or strain experienced as a result of stressful, traumatic, or challenging situations.

Survivors

Individuals who have lived through a dangerous or life-threatening event or situation and are often coping with the aftermath or consequences of such experiences.

Belongings

Personal items or possessions owned by an individual.

Destroyed

To have been completely ruined or demolished, leaving nothing salvageable or in its original state.