If the long-run average total cost curve of an industry is declining at the point where it intersects the industry demand curve, then we can expect that the industry will be a natural monopoly.
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What is Natural monopoly?</h3>
This is characterized by high infrastructural costs and other barriers which prevent entry into the market. This gives rise to a very few being involved and usually offers no competition as there is a single seller with unique types of goods and services.
This type of monopoly involves sellers having a big size and able to produce the required output for the consumers. This makes them to be self-sufficient and is characterized by the long-run average total cost curve of an industry declining and intersecting the industry demand curve which is the reason why it was chosen as the most appropriate choice.
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The augmented matrix for the linear system is constructed as
![\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%26-4%5C%5C2%260%262%5C%5C4%261%261%5Cend%7Barray%7D%5Cright%5D)
<u>The </u><u>augmented matrix</u><u> for the linear system of equation is used to represent equations in a matrix form and used to perform certain operations in the row of the given matrix</u>.
The system of equation have 3 variables and we can represent it using a 3by3 matrix system.
The system of linear equation are
With the equation above, we can proceed to construct the augmented matrix for this linear system
=
The first equation is represented in the first horizontal row, the second and third equation are represented in the second and third rows respectively.
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D is the correct answer as there are reduced punishments for juvenile offenders and mentally ill people as it is believed that they are truly not thinking their actions through properly and are not capable of making the proper decisions.
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