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:

Materials Price Variance

The difference between the actual cost of materials purchased and the expected cost, often used to monitor and control production costs.

Direct Labor-Hours

The total hours of labor directly involved in the production of goods or services, often used as a basis for allocating labor costs to products.

Variable Manufacturing Overhead

Indirect manufacturing costs that fluctuate with production volume, such as utilities and maintenance expenses.

Labor Efficiency Variance

The difference between the actual hours worked and the standard hours expected, multiplied by the standard labor rate.