Set Up the System of Equations and Then Solve It

question 210

Multiple Choice

Set up the system of equations and then solve it by using inverse matrices. ​
Investment A company offers three mutual fund plans for its employees. Plan I consists of 4 blocks of common stock and 2 municipal bonds. Plan II consists of 8 blocks of common stock, 4 municipal bonds, and 6 blocks of preferred stock. Plan III consists of 14 blocks of common stock, 6 municipal bonds, and 6 blocks of preferred stock. An employee wants to combine these plans so that she has 82 blocks of common stock, 38 municipal bonds, and 36 blocks of preferred stock. How many units of each plan does she need?
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Definitions:

Cash Dividend

A cash dividend is a payment made by a company out of its earnings to shareholders, usually in the form of cash.

Financial Statements

Reports that show the financial performance and position of a company, including the balance sheet, income statement, and cash flow statement.

Stockholders' Equity

The residual interest in the assets of a corporation after deducting its liabilities, representing ownership interest.

Total Liabilities

The sum of all financial obligations a company owes to outside parties, including loans, accounts payable, and mortgages.