The Shamrock Transportation Company Has Four Terminals: A, B, C

question 31

Essay

The Shamrock Transportation Company has four terminals: A, B, C, and D. At the start of a particular day, there are 8, 8, 6, and 3 tractors available at those terminals, respectively. During the previous night, trailers were loaded at plants R, S, T, and U. The number of trailers at each plant is 2, 12, 5, and 6, respectively. The company dispatcher has determined the distances between each terminal and each plant, as follows. How many tractors should be dispatched from each terminal to each plant in order to minimize the total number of miles traveled? $$\begin{array} { | l |r | r | r | r | r | } \hline \text { COSTS } & { \text { Dest. 1 } } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \\\hline \text { Origin 1 } & 21 & 44 & 25 & 40 & 8 \\\hline \text { Origin 2 } & 42 & 24 & 45 & 22 & 8 \\\hline \text { Origin 3 } & 78 & 32 & 42 & 55 & 6 \\\hline \text { Origin 4 } & 44 & 42 & 32 & 30 & 3 \\\hline \text { Demand } & 2 & 12 & 5 & 6&25/25 \\\hline\end{array}$$

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Definitions:

Synaptic Gap

The tiny space between neurons across which neurotransmitters travel to transmit signals from one neuron to another.

Memory Problem

Involves difficulties in recalling information, which can result from various factors such as aging, stress, or neurological disorders.

Neurotransmitter

Chemical substances that transmit signals across a synapse from one neuron to another 'target' neuron or to a muscle or gland cell.

Acetylcholine

A neurotransmitter in both the peripheral and central nervous system that plays a crucial role in muscle activation and influences various functions in the body, including arousal, attention, memory, and motivation.