Find a Matrix a and a Column Matrix B That $$\mathrm { AB } = \left[ \begin{array} { r } 1272 \\1118 \\956\end{array} \right]$$

question 343

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) \[\mathrm { AB } = \left[ \begin{array} { r } 1272 \\ 1118 \\ 956 \end{array} \right]\] Tuition for Student 1 is \(\$ 1272\), tuition for Student 2 is \(\$ 1118\), and tuition for Student 3 is \(\$ 956\).
• B) \[\mathrm { AB } = \left[ \begin{array} { r } 892 \\ 1026 \end{array} \right]\] College A costs \(\$ 892\) and College B costs \(\$ 1026\).
• C) \[\mathrm { AB } = \left[ \begin{array} { r } 1262 \\ 1088 \\ 951 \end{array} \right]\] Tuition for Student 1 is \(\$ 1262\), tuition for Student 2 is \(\$ 1088\), and tuition for Student 3 is \(\$ 951\).
• D) \[\mathrm { AB } = \left[ \begin{array} { r } 937 \\ 1140 \end{array} \right]\] College A costs \(\$ 937\) and College B costs \(\$ 1140\).

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Definitions:

Managerial Decision Making

The process by which managers and leaders of an organization make choices and strategies to achieve organizational goals.

Relevant Range

The range of activity over which changes in cost are of interest to management.

Cost Behavior

Cost behavior refers to how different types of production costs change when there is a change in the level of production activity.

Relevant Range

The range of activity within which the assumptions about variable and fixed cost behavior hold true for a given business.