Find the Minimum Cost Shipping Solution for the Transportation Problem

question 33

Essay

Find the minimum cost shipping solution for the transportation problem data set in the table below. Provide a table of shipping quantities and the minimum value for the objective function.
$$\begin{array} { | l | r | r | r | } \hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Supply } \\\hline \text { Source 1 } & 6 & 10 & 20 \\\hline\text { Source 2 } & 8 & 3 & 30 \\\hline \text { Source 3 } & 4 & 6 & 15 \\\hline\text { Source 4 } & 12 & 11 & 20 \\\hline \text { Source 5 } & 7 & 9 & 25 \\\hline \text { Demand } & 70 & 40 & 110 \backslash 110 \\\hline\end{array}$$

---

Definitions:

Metabolism

The set of life-sustaining chemical reactions that process nutrients and convert them into energy and building blocks for the body.

Nocturnal Enuresis

Involuntary urination that occurs during sleep, especially common in children.

Protective Pads

Items designed to safeguard specific parts of the body against injury, often used in contact sports or occupational settings.

Bed Alarm

A device used to monitor patients at risk of falling out of bed, alerting caregivers when a patient attempts to leave the bed.