The Matrix Associated with the Solution to a System of Linear

question 84

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $$\left[ \begin{array} { r r r | r } 1 & 1 & 1 & - 4 \\1 & - 1 & 4 & - 26 \\5 & 1 & 1 & - 24\end{array} \right]$$

• A) \(x = - 5 , y = 5 , z = - 4\)
• B) \(x = - 4 , y = 5 , z = - 5\)
• C) \(x = - 4 , y = - 5 , z = 5\)
• D) \(x = - 5 , y = - 4 , z = 5\)

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Definitions:

MU y/ Pᵧ

MU y/ Pᵧ represents the marginal utility of good "y" divided by its price, a concept in economics used to analyze consumer choice, indicating the additional satisfaction per unit of currency spent on that good.

Maximize Utility

The economic principle of selecting the option that yields the highest satisfaction or benefit.

Quantities Y

Often refers to the output level or quantity of goods produced in economic models or equations.

Marginal Utility

The extra pleasure or advantage a customer gains by consuming an additional unit of a product or service.