A System of Equations May Have a Unique Solution, an Infinite

question 36

Multiple Choice

A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the following system, if a solution exists.

• A) , ,
• B) , ,
• C) , , for any real number z.
• D) , , for any real number z.
• E) no solution

---

Definitions:

Total Cost

The sum of fixed and variable costs incurred by a business in the production of goods or services.

Profit

The financial gain achieved when the revenue gained from business activities exceeds the expenses, costs, and taxes needed to sustain the activity.

Economic Profit

The disparity between total income and total outlays, considering both manifest and concealed costs.

(P - ATC)q

The formula representing profit in economic terms, where P stands for price, ATC for average total cost, and q for quantity produced or sold.