Solve the System by Triangularizing the Augmented Matrix and Using

question 6

Multiple Choice

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

• A) (2, 1, 3)
• B) (2, 1, 2)
• C) coincident dependence; {(x, y, z) | x + y - 3z = -6}
• D) no solution, inconsistent

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Definitions:

Economic Profits

The remaining amount after deducting total expenses from the total income, taking into account all direct and indirect costs.

Profit Maximizes

A strategy or objective of businesses to achieve the highest possible profit, where total revenue exceeds total costs by the largest margin.

MR

Short for Marginal Revenue, it represents the additional income earned from selling one more unit of a good or service.

MC

Refers to Marginal Cost, the increase in total cost that arises from producing an additional unit of output.