Find a Matrix a and a Column Matrix B That $$\mathrm { AB } = \left[ \begin{array} { r } 960 \\810 \\1011\end{array} \right]$$

question 247

Multiple Choice

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
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• A) \[\mathrm { AB } = \left[ \begin{array} { r } 960 \\ 810 \\ 1011 \end{array} \right]\] Tuition for Student 1 is \(\$ 960\), tuition for Student 2 is \(\$ 810\), and tuition for Student 3 is \(\$ 1011\).
• B) \(\mathrm { AB } = [ 63 ]\) The average cost per credit hour is \(\$ 63\).
• C) \[\mathrm { AB } = \left[ \begin{array} { r } 1074 \\ 981 \\ 726 \end{array} \right]\] Tuition for Student 1 is \(\$ 1074\), tuition for Student 2 is \(\$ 981\), and tuition for Student 3 is \(\$ 726\).
• D) \[\mathrm { AB } = \left[ \begin{array} { r } 789 \\ 1095 \\ 897 \end{array} \right]\] Tuition for Student 1 is \(\$ 789\), tuition for Student 2 is \(\$ 1095\), and tuition for Student 3 is \(\$ 897\).

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Definitions:

Marginal Product

Marginal product is the additional output gained from increasing one unit of a variable input, holding all other inputs constant, in the production process.

Total Product

The total quantity of output that a firm produces with a given amount of fixed and variable inputs during a specified period.

Total Product

The total quantity of output that a firm produces, usually within a given time period.

Marginal Product

The additional output produced as a result of using one extra unit of a particular input.