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

question 44

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:

Depolarization

A decrease in the difference in electrical charge across a cell's plasma membrane, making the inside of the cell less negative compared to the outside.

Hyperpolarization

Hyperpolarization is an increase in a cell's membrane potential, making it more negative and less likely to fire an action potential.

Repolarization

The process of restoring the negative charge inside a neuron or muscle cell after depolarization, preparing it for another action potential.

Electric Signals

are impulses of charged particles, such as ions, used by neurons and other cells to communicate and perform physiological functions.