Solve the Following Assignment Problem Using the Hungarian Method

question 18

Essay

Solve the following assignment problem using the Hungarian method. No agent can be assigned to more than one task. Total cost is to be minimized. $$\begin{array} { c | r r c c } && { \text { Task } } \\\text { Agent } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & 9 & 5 & 4 & 2 \\2 & 12 & 6 & 3 & 5 \\3 & 11 & 6 & 5 & 7\end{array}$$

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Definitions:

Agreement

One of the four elements necessary for a contract; consists of an offer made by one party, the offeror, and the acceptance of the offer by another party, the offeree.

Agent

Describes a person or entity authorized to act on behalf of another, known as the principal, in dealings with third parties.

Principal

In a contractual or fiduciary relationship, the principal is the party who authorizes an agent to act on their behalf.

Authority

The power or right to give orders, make decisions, and enforce obedience.